generalized kostant convexity theorems

Valuations of Polyhedra and Coxeter Combinatorics - UC Berkeley

In the representation theory of semisimple Lie algebras, the Kostant partition ... monoid of generalized permutahedra defined in [AA17] (see Theorem 1.4.8) ...

Symplectic Geometry

... convexity theorem was proved by Kir-. 9. * of the image of wan ... Liu, Symplectic structure on ruled surfaces and a generalized adjunction formula, Math.

On the Topology of Collective Integrable Systems by Jeremy M. Lane

... general theorems of Zung and Izosimov about the structure of integrable ... convexity theorem for Hamiltonian group actions [55, Theorem 1.2]. 9The ...

Representation theory of compact groups and complex reductive ...

Guillemin-Sternberg convexity theorem from symplectic geometry, we obtain ... Kostant partition function of µ and is denote kpf(µ). Because ...

Kirillov's orbit method: the case of discrete series representations

The convexity theorem [14, 20] tells us that ∆K1 pO1q “ pk1,g1 ... In the Kostant-Souriau framework [19, 36], a G-equivariant Hermitian.

Generalizing a theorem of Kostant to arbitrary parabolics

I am not sure what kind of generalization you are looking for, but the content of the theorem is that the adjoint B-action on V admits a linear ...

A Presentation of Certain New Trends in Noncommutative Geometry

Motivated by the Hochschild–Kostant–Rosenberg Theorem, and Theorem 3.1.2, we ... . Using results from general Hopf algebra theory again, it can be shown that A⊗ ...

The momentum map in Poisson geometry - Mathematics Department

This should lead to nice generalizations of the clas- sical Atiyah-Guillemin-Kirwan-Sternberg convexity theorem. ... Kostant-Symes scheme. More generally ...