Bertram Kostant

activity

20032005

most citedThe Coxeter element and the branching law for the finite subgroups of SU(2)

6 citations · 6 across the 4 of their papers we have counts for

collaborators

4 papers

math.SG2005

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…

math.RT2004★ 6 cited

The Coxeter element and the branching law for the finite subgroups of SU(2)

Bertram Kostant

Let $Γ$ be a finite subgroup of SU(2) and let $Γ = {γ_{i} ∣ i \in J}$ be the unitary dual of $Γ$ . The unitary dual of SU(2) may be written ${π_{n} ∣ n \in Z_{+}}$ w…

math.SG2004

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 $C$ is introduced which is the Poisson analogue of the Gelfa…

math.SG2003

Minimal coadjoint orbits and symplectic induction

Bertram Kostant

Let $(X, ω)$ be an integral symplectic manifold and let $(L, \nabla)$ be a quantum line bundle, with connection, over $X$ having $ω$ as curvature. With this data one can define an in…