6 citations · 7 across the 6 of their papers we have counts for
7 papers
Gelfand-Zeitlin theory from the perspective of classical mechanics II
Bertram Kostant, Nolan Wallach
In this paper, Part II, of a two part paper we apply the results of [KW], Part I, to establish, with an explicit dual coordinate system, a commutative analogue of the Gelfand-Kiril…
The Coxeter element and the branching law for the finite subgroups of SU(2)
Bertram Kostant
Let be a finite subgroup of SU(2) and let be the unitary dual of . The unitary dual of SU(2) may be written w…
Gelfand-Zeitlin theory from the perspective of classical mechanics. I
Bertram Kostant, Nolan Wallach
A commutative Poisson subalgebra of the Poisson algebra of polynomials on the Lie algebra of n x n matrices over is introduced which is the Poisson analogue of the Gelfa…
Minimal coadjoint orbits and symplectic induction
Bertram Kostant
Let be an integral symplectic manifold and let be a quantum line bundle, with connection, over having as curvature. With this data one can define an in…
Dirac Cohomology for the Cubic Dirac Operator
Bertram Kostant
Using the cubic Dirac operator and an extended notion of Dirac cohomology we generalize results of Huang-Pandzic, which appeared in JAMS (Sept. 6, 2001 electronic) on a conjecture…
A branching law for subgroups fixed by an involution and a noncompact analogue of the Borel-Weil theorem
Bertram Kostant
We give a branching law for subgroups fixed by an involution. As an application we give a generalization of the Cartan-Helgason theorem and a noncompact analogue of the Borel-Weil…