Buch, Englisch, 622 Seiten, Format (B × H): 178 mm x 254 mm, Gewicht: 1324 g
Volume IV 1991-2000
Buch, Englisch, 622 Seiten, Format (B × H): 178 mm x 254 mm, Gewicht: 1324 g
ISBN: 978-0-387-09588-2
Verlag: Springer
This is the fourth volume (1985-1995) of a five-volume set of Bertram Kostant's collected papers. A distinguished feature of this fourth volume is Kostant's commentaries and summaries of his papers in his own words.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Preface.- Acknowledgements.- The Capelli Identity, Tube Domains, and the Generalized Laplace Transform (With Sahi, S.).- The Variety of all Invariant Symplectic Structures on a Homogeneous Space and Normalizers of Isotropy Subgroups (with Brylinski, R.).- A Geometric Realization of Minimal t-type of Harish-Chandra Modules for Complex S.S. Groups (with Kumar, S.).- Nilpotent Orbits, Normality, and Hamiltonian Group Actions (with Brylinski, R.).- The Vanishing of Scalar Curvature on 6 Manifolds, Einstein’s Equation, and Representation Theory.- Jordan Algebras and Capelli Identities (with Sahi, S.).- Nilpotent Orbits, Normality, and Hamiltonian Group Actions (with Brylinski, R.).- Minimal Representations of
E6
,
E7
, and
E8
and the Generalized Capelli identity (with Brylinski, R.).- Groups and the Buckyball (with Chung, F.R.K. and Sternberg, S.).- Differential Operators on Conical Lagrangian Manifolds (with Brylinski, R.).- Minimal Representations, Geometric Quantization, and Unitarity (with Brylinski, R.).- Structure of the Truncated Icosahedron (such as Fullerene or Viral Coatings) and a 60-Element Conjugacy Class in
PSl
(2,11).- Immanant Inequalities and 0-Weight Spaces.- Lagrangian Models of Minimal Representations of
E6
E7
and
E8
(with R. Brylinski).- Structure of the Truncated Icosahedron (e.g., Fullerene or C60, viral coatings) and a 60-Element Conjugacy Class in
PSl
(2,11).- The Graph of the Truncated Icosahedron and the Last Letter of Galois.- Flag Manifold Quantum Cohomology, the Toda Lattice, and the Representation with Highest Weight ?.- Clifford Algebra Analogue of the Hopf–Koszul–Samelson Theorem, the
?
-Decomposition,
C
(g)=End
V
?
?
C
(
P
), and the g-Module Structure of ?g.- Quantum Cohomology of the Flag Manifold as an Algebra of Rational Functions on a Unipotent Algebraic Group.- The Set of Abelian Ideals of a Borel Subalgebra, Cartan Decompositions, and Discrete Series Representations.- The Weyl Character Formula, the Half-Spin Representations, and Equal Rank Subgroups (with Gross, B., Ramond, P. and Sternberg, S.).- A Cubic Dirac Operator and the Emergence of Euler Number Multiplets of Representations for Equal Rank Subgroups.- On ?g for a Semisimple Lie Algebra g, as an Equivariant Module over the Symmetric Algebra S(g).- A Generalization of the Bott–Borel–Weil Theorem and Euler Number Multiplets of Representations.- On Laguerre Polynomials, Bessel Functions, Hankel Transform and a Series in the Unitary Dual of the Simply-Connected Covering Group of
Sl
(2,
R
).- Comments on Papers in Volume IV.