Kostant, Bertram
Overview
Works:  29 works in 56 publications in 2 languages and 525 library holdings 

Roles:  Author, Honoree, Dedicatee, Editor 
Classifications:  QA387, 512.55 
Publication Timeline
.
Most widely held works by
Bertram Kostant
Lie theory and geometry : in honor of Bertram Kostant
by
J.L Brylinski(
Book
)
10 editions published in 1994 in English and held by 286 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
10 editions published in 1994 in English and held by 286 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
Collected papers
by
Bertram Kostant(
)
11 editions published in 2009 in English and held by 122 WorldCat member libraries worldwide
For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory. Virtually all his papers are pioneering with deep consequences, many giving rise to whole new fields of activities. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. Some specific topics cover algebraic groups and invariant theory, the geometry of homogeneous spaces, representation theory, geometric quantization and symplectic geometry, Lie algebra cohomology, Hamiltonian mechanics, modular forms, Whittaker theory, Toda lattice, and much more. It is striking to note that Lie theory (and symmetry in general) now occupies an ever increasing larger role in mathematics than it did in the fifties. This is the first volume (19551966) of a fivevolume set of Bertram Kostant's collected papers. A distinguished feature of this first volume is Kostant's commentaries and summaries of his papers in his own words
11 editions published in 2009 in English and held by 122 WorldCat member libraries worldwide
For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory. Virtually all his papers are pioneering with deep consequences, many giving rise to whole new fields of activities. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. Some specific topics cover algebraic groups and invariant theory, the geometry of homogeneous spaces, representation theory, geometric quantization and symplectic geometry, Lie algebra cohomology, Hamiltonian mechanics, modular forms, Whittaker theory, Toda lattice, and much more. It is striking to note that Lie theory (and symmetry in general) now occupies an ever increasing larger role in mathematics than it did in the fifties. This is the first volume (19551966) of a fivevolume set of Bertram Kostant's collected papers. A distinguished feature of this first volume is Kostant's commentaries and summaries of his papers in his own words
Collected papers
by
Bertram Kostant(
)
8 editions published in 2009 in English and held by 52 WorldCat member libraries worldwide
The author has been one of the major architects of modern Lie theory. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. This title features commentaries and summaries of his papers in his own words
8 editions published in 2009 in English and held by 52 WorldCat member libraries worldwide
The author has been one of the major architects of modern Lie theory. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. This title features commentaries and summaries of his papers in his own words
Lectures in Modern Analysis and Applications III
by
R. M Dudley(
)
1 edition published in 1970 in English and held by 23 WorldCat member libraries worldwide
1 edition published in 1970 in English and held by 23 WorldCat member libraries worldwide
Collected papers
by
Bertram Kostant(
)
2 editions published in 2009 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 2009 in English and held by 5 WorldCat member libraries worldwide
Systèmes hamiltoniens complètement intégrables
by
Bertram Kostant(
Book
)
1 edition published in 1983 in French and held by 3 WorldCat member libraries worldwide
1 edition published in 1983 in French and held by 3 WorldCat member libraries worldwide
Lie algebra cohomology and the generalized BorelWeil theorem
by
Bertram Kostant(
Book
)
1 edition published in 1960 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1960 in English and held by 3 WorldCat member libraries worldwide
Collected papers of Bertram Kostant
by
Bertram Kostant(
Book
)
1 edition published in 2008 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2008 in English and held by 3 WorldCat member libraries worldwide
Collected papers, v.1: 19551966
by
Bertram Kostant(
Book
)
1 edition published in 2009 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 3 WorldCat member libraries worldwide
Representations of a Lie algebra and its enveloping algebra on Hilbert space
by
Bertram Kostant(
)
1 edition published in 1954 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1954 in English and held by 2 WorldCat member libraries worldwide
Lie theorie and geometry : in honor of Bertram Kostant
(
Book
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
Irreducibility of the principal series and existence and irreducibility of the complementary series
by
Bertram Kostant(
Book
)
1 edition published in 1968 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1968 in English and held by 2 WorldCat member libraries worldwide
Symplectic Projective Orbits
by
Bertram Kostant(
)
in English and held by 2 WorldCat member libraries worldwide
in English and held by 2 WorldCat member libraries worldwide
A course in the mathematics of general relativity
by
Bertram Kostant(
Book
)
1 edition published in 1988 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1988 in English and held by 2 WorldCat member libraries worldwide
Differential forms on regular affine algebra
by
Gerhard P Hochschild(
Book
)
1 edition published in 1961 in English and held by 1 WorldCat member library worldwide
1 edition published in 1961 in English and held by 1 WorldCat member library worldwide
Differential forms on regular affine algebra
(
Book
)
1 edition published in 1961 in English and held by 1 WorldCat member library worldwide
A mathematical discussion of the algebras of differential forms is treated as a special combination of linear algebra and homological alegbra. There is specific identification of this particular exterior algebra as applied to canical graded algebra based on the Tor functor and obtained by the cohomology of differential forms from the ext functor to a universal algebra i. e. Lie algebra. Attention is directed chiefly to a regular affine algebra, Kalgebra, which is Noetherian with a finite Krull dimension, i. e. the largest nonnegative integer
1 edition published in 1961 in English and held by 1 WorldCat member library worldwide
A mathematical discussion of the algebras of differential forms is treated as a special combination of linear algebra and homological alegbra. There is specific identification of this particular exterior algebra as applied to canical graded algebra based on the Tor functor and obtained by the cohomology of differential forms from the ext functor to a universal algebra i. e. Lie algebra. Attention is directed chiefly to a regular affine algebra, Kalgebra, which is Noetherian with a finite Krull dimension, i. e. the largest nonnegative integer
The Principle of threedimensional subgroup and the Betti numbers of a complex simple Lie group
by
Bertram Kostant(
Book
)
1 edition published in 1958 in English and held by 1 WorldCat member library worldwide
1 edition published in 1958 in English and held by 1 WorldCat member library worldwide
On the conjugacy of real cartan subalgebras
by
Bertram Kostant(
Book
)
1 edition published in 1955 in English and held by 1 WorldCat member library worldwide
1 edition published in 1955 in English and held by 1 WorldCat member library worldwide
Quantization and unitary representations
by
Bertram Kostant(
Book
)
1 edition published in 1970 in English and held by 1 WorldCat member library worldwide
1 edition published in 1970 in English and held by 1 WorldCat member library worldwide
A Formula for the multiplicity of a weight
by
Bertram Kostant(
Book
)
1 edition published in 1958 in English and held by 1 WorldCat member library worldwide
1 edition published in 1958 in English and held by 1 WorldCat member library worldwide
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Algebra Differential forms Divergent series Generalized spaces General relativity (Physics)Mathematics Geometry Geometry, Algebraic Geometry, Differential Global differential geometry Homology theory Lie algebras Lie groups Mathematical physics Mathematics Multiplicity (Mathematics) Topological groups