Brylinski, J.L (JeanLuc)
Overview
Works:  16 works in 108 publications in 5 languages and 1,957 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, ed, Contributor 
Classifications:  QA612.76, 514.24 
Publication Timeline
.
Most widely held works by
J.L Brylinski
Loop spaces, characteristic classes, and geometric quantization by
J.L Brylinski(
Book
)
29 editions published between 1992 and 2008 in English and Spanish and held by 392 WorldCat member libraries worldwide
29 editions published between 1992 and 2008 in English and Spanish and held by 392 WorldCat member libraries worldwide
Nilpotent orbits, primitive ideals, and characteristic classes : a geometric perspective in ring theory by
W Borho(
Book
)
15 editions published between 1988 and 1989 in 3 languages and held by 343 WorldCat member libraries worldwide
1. The Subject Matter. Consider a complex semisimple Lie group G with Lie algebra g and Weyl group W. In this book, we present a geometric perspective on the following circle of ideas: polynomials The "vertices" of this graph are some of the most important objects in representation theory. Each has a theory in its own right, and each has had its own independent historical development.  A nilpotent orbit is an orbit of the adjoint action of G on g which contains the zero element of g in its closure. (For the special linear group 2 G = SL(n, C), whose Lie algebra 9 is all n x n matrices with trace zero, an adjoint orbit consists of all matrices with a given Jordan canonical form; such an orbit is nilpotent if the Jordan form has only zeros on the diagonal. In this case, the nilpotent orbits are classified by partitions of n, given by the sizes of the Jordan blocks.) The closures of the nilpotent orbits are singular in general, and understanding their singularities is an important problem.  The classification of irreducible Weyl group representations is quite old
15 editions published between 1988 and 1989 in 3 languages and held by 343 WorldCat member libraries worldwide
1. The Subject Matter. Consider a complex semisimple Lie group G with Lie algebra g and Weyl group W. In this book, we present a geometric perspective on the following circle of ideas: polynomials The "vertices" of this graph are some of the most important objects in representation theory. Each has a theory in its own right, and each has had its own independent historical development.  A nilpotent orbit is an orbit of the adjoint action of G on g which contains the zero element of g in its closure. (For the special linear group 2 G = SL(n, C), whose Lie algebra 9 is all n x n matrices with trace zero, an adjoint orbit consists of all matrices with a given Jordan canonical form; such an orbit is nilpotent if the Jordan form has only zeros on the diagonal. In this case, the nilpotent orbits are classified by partitions of n, given by the sizes of the Jordan blocks.) The closures of the nilpotent orbits are singular in general, and understanding their singularities is an important problem.  The classification of irreducible Weyl group representations is quite old
Lie theory and geometry : in honor of Bertram Kostant by
J.L Brylinski(
Book
)
17 editions published in 1994 in 3 languages and held by 302 WorldCat member libraries worldwide
This volume, dedicated to Bertram Kostant on the occasion of his 65th birthday, is a collection of 22 invited papers by leading mathematicians working in Lie theory, geometry, algebra, and mathematical physics. Kostant's fundamental work in all these areas has provided deep new insights and connections, and has created new fields of research. The papers gathered here present original research articles as well as expository papers, broadly reflecting the range of Kostant's work
17 editions published in 1994 in 3 languages and held by 302 WorldCat member libraries worldwide
This volume, dedicated to Bertram Kostant on the occasion of his 65th birthday, is a collection of 22 invited papers by leading mathematicians working in Lie theory, geometry, algebra, and mathematical physics. Kostant's fundamental work in all these areas has provided deep new insights and connections, and has created new fields of research. The papers gathered here present original research articles as well as expository papers, broadly reflecting the range of Kostant's work
Advances in geometry(
Book
)
13 editions published in 1999 in English and held by 259 WorldCat member libraries worldwide
The articles present new results or discuss interesting perspectives on recent work that will be of interest to researchers and graduate students working in symplectic geometry and geometric quantization, deformation quantization, noncommutative geometry and index theory, quantum groups, holomorphic algebraic geometry and moduli spaces, quantum cohomology, algebraic groups and invariant theory, and characteristic classes
13 editions published in 1999 in English and held by 259 WorldCat member libraries worldwide
The articles present new results or discuss interesting perspectives on recent work that will be of interest to researchers and graduate students working in symplectic geometry and geometric quantization, deformation quantization, noncommutative geometry and index theory, quantum groups, holomorphic algebraic geometry and moduli spaces, quantum cohomology, algebraic groups and invariant theory, and characteristic classes
Géométrie et analyse microlocales by
J.L Brylinski(
Book
)
13 editions published in 1986 in French and English and held by 169 WorldCat member libraries worldwide
13 editions published in 1986 in French and English and held by 169 WorldCat member libraries worldwide
Central extensions of reductive groups by K 2. Spectral curves, opers and integrable systems / by David BenZvi and Edward
Frenkel [u.a.] by
J.L Brylinski(
Book
)
5 editions published in 2001 in English and held by 13 WorldCat member libraries worldwide
5 editions published in 2001 in English and held by 13 WorldCat member libraries worldwide
Complex manifolds(
Book
)
3 editions published between 1997 and 1998 in English and held by 11 WorldCat member libraries worldwide
3 editions published between 1997 and 1998 in English and held by 11 WorldCat member libraries worldwide
Journées automorphes by
James Arthur(
Book
)
3 editions published in 1983 in 3 languages and held by 3 WorldCat member libraries worldwide
3 editions published in 1983 in 3 languages and held by 3 WorldCat member libraries worldwide
Analyse et topologie sur les espaces singuliers : CIRM, 610 juillet 1981 by Colloque Analyse et topologie sur les espaces singuliers(
Book
)
2 editions published between 1982 and 1983 in French and held by 2 WorldCat member libraries worldwide
2 editions published between 1982 and 1983 in French and held by 2 WorldCat member libraries worldwide
Relative enveloping algebras by
W Borho(
Book
)
in Undetermined and held by 2 WorldCat member libraries worldwide
in Undetermined and held by 2 WorldCat member libraries worldwide
Advances in geometry : volume 1 by
J.L Brylinski(
Book
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
Transformations canoniques, dualité projective, théorie de lefschetz, transformations de fourier et sommes trigonométriques by
J.L Brylinski(
Book
)
1 edition published in 1982 in French and held by 1 WorldCat member library worldwide
1 edition published in 1982 in French and held by 1 WorldCat member library worldwide
Differential operators on homogeneous spaces by
W Borho(
Book
)
2 editions published in 1986 in German and English and held by 1 WorldCat member library worldwide
2 editions published in 1986 in German and English and held by 1 WorldCat member library worldwide
AG Algebra: Algebraische Theorie der Systeme partieller Differentialgleichungen 9.6. bis 13.6.1985(
Book
)
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
Cohomology of a type of affine hypersurfaces by
J.L Brylinski(
Book
)
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
Lie Theory and Geometry : In Honor of Bertram Kostant by
J Oesterlé(
)
1 edition published in 1994 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Borho, W. (Walter) 1945 Author Editor
 MacPherson, Robert 1944
 Kostant, Bertram Honoree Dedicatee
 Fernandes, T. Monteiro (Teresa Monteiro) Contributor
 Brylinski, Ranee Editor
 Deligne, Pierre
 Frenkel, Edward
 Nistor, Victor Editor
 Bell, Steven Robert (19......).
 Huckleberry, Alan
Useful Links
Associated Subjects
Algebra Automorphic forms Automorphisms Characteristic classes Complex manifolds Differential equations, Partial Geometry Geometry, Algebraic Geometry, Differential Global differential geometry Group theory Homology theory Ktheory Lie groups Loop spaces Mathematical physics Mathematics Microlocal analysis Remmert, Reinhold Rings (Algebra) Topological groups Topology
Alternative Names
Brylinski, J.L.
Brylinski, J.L. 1951
Brylinski, Jean L. 1951
Brylinski, JeanLuc
JeanLuc Brylinski Frans wiskundige
JeanLuc Brylinski fransk matematikar
JeanLuc Brylinski fransk matematiker
JeanLuc Brylinski französischer Mathematiker
JeanLuc Brylinski French mathematician
JeanLuc Brylinski mathématicien français
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