Collected Papers

Collected Papers

Volume III 1978-1990

Kumar, Shrawan; Vergne, Michele; Kostant, Bertram; Joseph, Anthony

Springer-Verlag New York Inc.

12/2022

703

Dura

Inglês

9780387095868

15 a 20 dias

1540

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Preface.- Acknowledgements.- On Whittaker Vectors and Representation Theory.- (with Kazhdan, D. and Sternberg, S.) Hamiltonian Group Actions and Dynamical Systems of Calogero Type.- Harmonic Analysis on Graded (or Super) Lie Groups.- The Solution to a Generalized Toda Lattice and Representation Theory.- Quantization and Representation Theory.- A Lie Algebra Generalization of the Amitsur-Levitski Theorem.- Poisson Commutativity and Generalized Periodic Toda Lattice.- (with Sternberg, S.) Symplectic Projective Orbits.- Coadjoint Orbits and a New Symbol Calculus for Line Bundles.- The McKay Correspondence, The Coxeter Element and Representation Theory.- (with Kumar, S.) The Nil Hecke Ring and Cohomology of G/P for a Kac-Moody Group G.- (with Kumar, S.) The Nil Hecke Ring and Cohomology of G/P for a Kac-Moody Group G*.- (with Sternberg, S.) Symplectic Reduction, BRS Cohomology and Infinite-Dimensional Clifford Algebras.- (with Kumar, S.) T-Equivariant K-Theory of Generalized Flag Varieties.- (with Guillemin, V. and Sternberg, S.) Douglas' Solution of the Plateau Problem.- The Principle of Triality and a Distinguished Unitary Representation of SO(4,4).- (with Sternberg, S.) The Schwartzian Derivative and the Conformal Geometry of the Lorentz Hyperboloid.- (with Kumar, S.) T-Equivariant K-Theory of Generalized Flag Varieties.- A Formula of Gauss-Kummer and the Trace of Certain Intertwining Operators.- The Vanishing of Scalar Curvature and the Minimal Representation of SO(4,4).- Comments on Papers in Volume III.
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Whittaker vectors;Representation theory;Kostant collected papers;Hamiltonian group actions;Amitsur-Levitski theorem;Poisson commutativity;Toda lattice;symplectic projective orbits;McKay correspondence;Nil Hecke ring;T-Equivariant K-Theory;Quantization and Representation Theory;graded Lie groups;super Lie groups