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130626  eng 
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a 9780387095837

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1 

a Kostant, Bertram

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0 
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a Collected Papers
h Elektronische Ressource
b Volume I 19551966
c by Bertram Kostant ; edited by Anthony Joseph, Shrawan Kumar, Michèle Vergne

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a 1st ed. 2009

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a New York, NY
b Springer New York
c 2009, 2009

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a XX, 518 p. 1 illus
b online resource

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0 

a Holonomy and the Lie Algebra of Infinitesimal Motions of A Riemannian Manifold  On the Conjugacy of Real Cartan Subalgebras  On the Conjugacy of Real Cartan Subalgebras II  On INV Ariant SkewTensors  On Differential Geomentry and Homogeneous Spaces. I.  On Differential Geometry and Homogeneous Spaces II  On Holonomy and Homogeneous Spaces  A Theorem of Frobenius, a Theorem of AmitsurLevitski and Cohomology Theory  A Characterization of the Classical Groups  A Formula for the Multiplicity of a Weight  The Principal ThreeDimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group  A Characterization of Invariant Affine Connections  Lie Algebra Cohomology and the Generalized BorelWeil Theorem  Differential Forms on Regular Affine Algebras  Differential Forms and Lie Algebra Cohomology for Algebraic Linear Groups  Lie Group Representations On Polynomial Rings  Lie Group Representations on Polynomial Rings  Lie Algebra Cohomology and Gen

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a Differential Geometry

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a Global differential geometry

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a Algebra

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a Topological Groups

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a Mathematical physics

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a Algebra

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a Mathematical Methods in Physics

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a Topological Groups, Lie Groups

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1 

a Joseph, Anthony
e [editor]

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a Kumar, Shrawan
e [editor]

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1 

a Vergne, Michèle
e [editor]

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a SpringerLink (Online service)

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0 
7 
a eng
2 ISO 6392

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b Springer
a Springer eBooks 2005

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u https://doi.org/10.1007/b94535?nosfx=y
x Verlag
3 Volltext

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0 

a 512

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a 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
