Mostow, George D.
Overview
Works:  56 works in 208 publications in 3 languages and 4,069 library holdings 

Genres:  Conference papers and proceedings Directories Educational films Filmed lectures Nonfiction films 
Roles:  Author, Editor, Honoree, Contributor, ed, Dedicatee 
Classifications:  QA154, 512 
Publication Timeline
.
Most widely held works by
George D Mostow
Fundamental structures of algebra by
George D Mostow(
Book
)
23 editions published in 1963 in English and Undetermined and held by 808 WorldCat member libraries worldwide
23 editions published in 1963 in English and Undetermined and held by 808 WorldCat member libraries worldwide
Commensurabilities among lattices in PU (1,n) by
Pierre Deligne(
Book
)
12 editions published between 1993 and 2016 in English and Undetermined and held by 525 WorldCat member libraries worldwide
The first part of this monograph is devoted to a characterization of hypergeometriclike functions, that is, twists of hypergeometric functions in nvariables. These are treated as an (n+1) dimensional vector space of multivalued locally holomorphic functions defined on the space of n+3 tuples of distinct points on the projective line P modulo, the diagonal section of Auto P=m. For n=1, the characterization may be regarded as a generalization of Riemann's classical theorem characterizing hypergeometric functions by their exponents at three singular points. This characterization permits the authors to compare monodromy groups corresponding to different parameters and to prove commensurability modulo inner automorphisms of PU(1,n). The book includes an investigation of elliptic and parabolic monodromy groups, as well as hyperbolic monodromy groups. The former play a role in the proof that a surprising number of lattices in PU(1,2) constructed as the fundamental groups of compact complex surfaces with constant holomorphic curvature are in fact conjugate to projective monodromy groups of hypergeometric functions. The characterization of hypergeometriclike functions by their exponents at the divisors "at infinity" permits one to prove generalizations in nvariables of the Kummer identities for n1 involving quadratic and cubic changes of the variable
12 editions published between 1993 and 2016 in English and Undetermined and held by 525 WorldCat member libraries worldwide
The first part of this monograph is devoted to a characterization of hypergeometriclike functions, that is, twists of hypergeometric functions in nvariables. These are treated as an (n+1) dimensional vector space of multivalued locally holomorphic functions defined on the space of n+3 tuples of distinct points on the projective line P modulo, the diagonal section of Auto P=m. For n=1, the characterization may be regarded as a generalization of Riemann's classical theorem characterizing hypergeometric functions by their exponents at three singular points. This characterization permits the authors to compare monodromy groups corresponding to different parameters and to prove commensurability modulo inner automorphisms of PU(1,n). The book includes an investigation of elliptic and parabolic monodromy groups, as well as hyperbolic monodromy groups. The former play a role in the proof that a surprising number of lattices in PU(1,2) constructed as the fundamental groups of compact complex surfaces with constant holomorphic curvature are in fact conjugate to projective monodromy groups of hypergeometric functions. The characterization of hypergeometriclike functions by their exponents at the divisors "at infinity" permits one to prove generalizations in nvariables of the Kummer identities for n1 involving quadratic and cubic changes of the variable
Strong rigidity of locally symmetric spaces by
George D Mostow(
Book
)
14 editions published between 1973 and 2016 in English and held by 448 WorldCat member libraries worldwide
Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity": this is a stronger form of the deformation rigidity that has been investigated by Selberg, CalabiVesentini, Weil, Borel, and Raghunathan. The proof combines the theory of semisimple Lie groups, discrete subgroups, the geometry of E. Cartan's symmetric Riemannian spaces, elements of ergodic theory, and the fundamental theorem of projective geometry as applied to Tit's geometries. In his proof the author introduces two new notions having independent interest: one is "pseudoisometries"; the other is a notion of a quasiconformal mapping over the division algebra K (K equals real, complex, quaternion, or Cayley numbers). The author attempts to make the account accessible to readers with diverse backgrounds, and the book contains capsule descriptions of the various theories that enter the proof
14 editions published between 1973 and 2016 in English and held by 448 WorldCat member libraries worldwide
Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity": this is a stronger form of the deformation rigidity that has been investigated by Selberg, CalabiVesentini, Weil, Borel, and Raghunathan. The proof combines the theory of semisimple Lie groups, discrete subgroups, the geometry of E. Cartan's symmetric Riemannian spaces, elements of ergodic theory, and the fundamental theorem of projective geometry as applied to Tit's geometries. In his proof the author introduces two new notions having independent interest: one is "pseudoisometries"; the other is a notion of a quasiconformal mapping over the division algebra K (K equals real, complex, quaternion, or Cayley numbers). The author attempts to make the account accessible to readers with diverse backgrounds, and the book contains capsule descriptions of the various theories that enter the proof
Linear algebra by
George D Mostow(
Book
)
12 editions published between 1969 and 1973 in English and Undetermined and held by 437 WorldCat member libraries worldwide
12 editions published between 1969 and 1973 in English and Undetermined and held by 437 WorldCat member libraries worldwide
Algebraic groups and discontinuous subgroups by Symposium in Pure Mathematics of American Mathematical Society(
Book
)
22 editions published between 1963 and 2012 in English and Undetermined and held by 426 WorldCat member libraries worldwide
22 editions published between 1963 and 2012 in English and Undetermined and held by 426 WorldCat member libraries worldwide
Discrete groups in geometry and analysis : papers in honor of G.D. Mostow on his sixtieth birthday(
Book
)
12 editions published in 1987 in English and Miscellaneous languages and held by 329 WorldCat member libraries worldwide
12 editions published in 1987 in English and Miscellaneous languages and held by 329 WorldCat member libraries worldwide
Mathematical models for cell rearrangement(
Book
)
10 editions published between 1975 and 1976 in English and held by 253 WorldCat member libraries worldwide
10 editions published between 1975 and 1976 in English and held by 253 WorldCat member libraries worldwide
Strong rigidity of locally symmetric spaces by
George D Mostow(
)
5 editions published between 1973 and 1984 in English and held by 191 WorldCat member libraries worldwide
5 editions published between 1973 and 1984 in English and held by 191 WorldCat member libraries worldwide
Proceedings of the Gibbs Symposium : Yale University, May 1517, 1989 by
Gibbs Symposium(
Book
)
9 editions published between 1989 and 2013 in English and held by 188 WorldCat member libraries worldwide
9 editions published between 1989 and 2013 in English and held by 188 WorldCat member libraries worldwide
Lectures on discrete subgroups on Lie groups by
George D Mostow(
Book
)
8 editions published in 1969 in English and held by 142 WorldCat member libraries worldwide
8 editions published in 1969 in English and held by 142 WorldCat member libraries worldwide
Lectures on Lie groups and Lie algebras by
George D Mostow(
Book
)
13 editions published between 1936 and 1974 in English and held by 113 WorldCat member libraries worldwide
13 editions published between 1936 and 1974 in English and held by 113 WorldCat member libraries worldwide
Algebra lineal by
George D Mostow(
Book
)
9 editions published between 1969 and 1972 in Spanish and held by 23 WorldCat member libraries worldwide
9 editions published between 1969 and 1972 in Spanish and held by 23 WorldCat member libraries worldwide
Strong Rigidity of Locally Symmetric Spaces. (AM78) by
George D Mostow(
)
1 edition published in 2016 in English and held by 20 WorldCat member libraries worldwide
Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity": this is a stronger form of the deformation rigidity that has been investigated by Selberg, CalabiVesentini, Weil, Borel, and Raghunathan. The proof combines the theory of semisimple Lie groups, discrete subgroups, the geometry of E. Cartan's symmetric Riemannian spaces, elements of ergodic theory, and the fundamental theorem of projective geometry as applied to Tit's geometries. In his proof the author introduces two new notions having independent interest: one is "pseudoisometries"; the other is a notion of a quasiconformal mapping over the division algebra K (K equals real, complex, quaternion, or Cayley numbers). The author attempts to make the account accessible to readers with diverse backgrounds, and the book contains capsule descriptions of the various theories that enter the proof
1 edition published in 2016 in English and held by 20 WorldCat member libraries worldwide
Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity": this is a stronger form of the deformation rigidity that has been investigated by Selberg, CalabiVesentini, Weil, Borel, and Raghunathan. The proof combines the theory of semisimple Lie groups, discrete subgroups, the geometry of E. Cartan's symmetric Riemannian spaces, elements of ergodic theory, and the fundamental theorem of projective geometry as applied to Tit's geometries. In his proof the author introduces two new notions having independent interest: one is "pseudoisometries"; the other is a notion of a quasiconformal mapping over the division algebra K (K equals real, complex, quaternion, or Cayley numbers). The author attempts to make the account accessible to readers with diverse backgrounds, and the book contains capsule descriptions of the various theories that enter the proof
World directory of mathematicians, 1986 by
International Mathematical Union(
Book
)
2 editions published in 1986 in English and held by 20 WorldCat member libraries worldwide
2 editions published in 1986 in English and held by 20 WorldCat member libraries worldwide
Commensurabilities among Lattices in PU (1,n). (AM132) by
Pierre Deligne(
)
1 edition published in 2016 in English and held by 20 WorldCat member libraries worldwide
The first part of this monograph is devoted to a characterization of hypergeometriclike functions, that is, twists of hypergeometric functions in nvariables. These are treated as an (n+1) dimensional vector space of multivalued locally holomorphic functions defined on the space of n+3 tuples of distinct points on the projective line P modulo, the diagonal section of Auto P=m. For n=1, the characterization may be regarded as a generalization of Riemann's classical theorem characterizing hypergeometric functions by their exponents at three singular points. This characterization permits the authors to compare monodromy groups corresponding to different parameters and to prove commensurability modulo inner automorphisms of PU(1,n). The book includes an investigation of elliptic and parabolic monodromy groups, as well as hyperbolic monodromy groups. The former play a role in the proof that a surprising number of lattices in PU(1,2) constructed as the fundamental groups of compact complex surfaces with constant holomorphic curvature are in fact conjugate to projective monodromy groups of hypergeometric functions. The characterization of hypergeometriclike functions by their exponents at the divisors "at infinity" permits one to prove generalizations in nvariables of the Kummer identities for n1 involving quadratic and cubic changes of the variable
1 edition published in 2016 in English and held by 20 WorldCat member libraries worldwide
The first part of this monograph is devoted to a characterization of hypergeometriclike functions, that is, twists of hypergeometric functions in nvariables. These are treated as an (n+1) dimensional vector space of multivalued locally holomorphic functions defined on the space of n+3 tuples of distinct points on the projective line P modulo, the diagonal section of Auto P=m. For n=1, the characterization may be regarded as a generalization of Riemann's classical theorem characterizing hypergeometric functions by their exponents at three singular points. This characterization permits the authors to compare monodromy groups corresponding to different parameters and to prove commensurability modulo inner automorphisms of PU(1,n). The book includes an investigation of elliptic and parabolic monodromy groups, as well as hyperbolic monodromy groups. The former play a role in the proof that a surprising number of lattices in PU(1,2) constructed as the fundamental groups of compact complex surfaces with constant holomorphic curvature are in fact conjugate to projective monodromy groups of hypergeometric functions. The characterization of hypergeometriclike functions by their exponents at the divisors "at infinity" permits one to prove generalizations in nvariables of the Kummer identities for n1 involving quadratic and cubic changes of the variable
Monodromy of hypergeometric functions and nonlattice integral monodromy by
Pierre Deligne(
Book
)
5 editions published between 1983 and 1986 in English and held by 17 WorldCat member libraries worldwide
5 editions published between 1983 and 1986 in English and held by 17 WorldCat member libraries worldwide
From Coxeter diagrams to Kummer identities by
George D Mostow(
Visual
)
3 editions published between 1991 and 2008 in English and held by 14 WorldCat member libraries worldwide
G.D. Mostow, who served as AMS president from 1986 to 1988, illustrates how various branches of mathematics, while seeming quite separate, can in fact have profound connections. Beginning with diagrams for finite groups generated by complex reflections, first introduced by Coxeter in 1966, Mostow describes how this line of research eventually led him and his colleagues to the Kummer identities for hypergeometric functions
3 editions published between 1991 and 2008 in English and held by 14 WorldCat member libraries worldwide
G.D. Mostow, who served as AMS president from 1986 to 1988, illustrates how various branches of mathematics, while seeming quite separate, can in fact have profound connections. Beginning with diagrams for finite groups generated by complex reflections, first introduced by Coxeter in 1966, Mostow describes how this line of research eventually led him and his colleagues to the Kummer identities for hypergeometric functions
Strong Rigidity of Locally Symmetric Spaces. (AM78) by
George D Mostow(
)
2 editions published between 1973 and 1974 in English and held by 14 WorldCat member libraries worldwide
2 editions published between 1973 and 1974 in English and held by 14 WorldCat member libraries worldwide
Affinoide Überdeckungen eindimensionaler affinoider Räume by
Hans Grauert(
Book
)
1 edition published in 1968 in English and held by 9 WorldCat member libraries worldwide
1 edition published in 1968 in English and held by 9 WorldCat member libraries worldwide
A teacher's manual for Fundamental structures of algebra, with answers to exercises by
George D Mostow(
Book
)
2 editions published in 1963 in English and held by 9 WorldCat member libraries worldwide
2 editions published in 1963 in English and held by 9 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Sampson, Joseph H. 1925
 Meyer, JeanPierre 1929
 American Mathematical Society Publisher Editor
 Deligne, Pierre Author
 Borel, Armand Author Editor
 University of Colorado (Boulder campus)
 Howe, Roger Editor
 Caldi, D. G. 1945 Other Author Editor
 Gibbs, J. Willard (Josiah Willard) 18391903
 American Institute of Physics
Useful Links
Associated Subjects
Algebra Algebras, Linear Cell aggregationMathematical models CellsMotility CellsMotilityMathematical models Conformal mapping Continuous groups Coxeter graphs Discrete groups Dynkin diagrams EducationCurricula Gibbs, J. Willard(Josiah Willard), Group theory Harvard University Hypergeometric functions Integral domains Lattice theory Lie algebras Lie groups Mathematicians Mathematics Monodromy groups Mostow, George D Numbers, Complex Numbers, Rational Numbers, Real Polynomials Riemannian manifolds Rigidity (Geometry) Rings (Algebra) Rings of integers Symmetric spaces Thermodynamics Topology
Covers
Alternative Names
George D. Mostow matematico statunitense
George Mostow American mathematician
George Mostow Amerikaans wiskundige
George Mostow amerikai matematikus
George Mostow amerikansk matematikar
George Mostow amerikansk matematiker
George Mostow matemàtic estatunidenc
George Mostow matematician american
George Mostow matemático estadounidense
George Mostow matematico statunitense
George Mostow mathématicien américain
George Mostow USamerikanischer Mathematiker
Mostow, G. D.
Mostow, G. D. (George D.)
Mostow, G. Daniel.
Mostow, G. Daniel 1923
Mostow, G. Daniel (George D.)
Mostow, G. Daniel (George Daniel)
Mostow, George 1923
Mostow, George D.
Mostow, George D. 1923
Mostow, George Daniel
Mostow, George Daniel 1923
Джордж Мостов американский математик
ג'ורג' מוסטוב
ג'ורג' מוסטוב מתמטיקאי אמריקאי
조지 모스토
喬治·莫斯托
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