Kostant's convexity theorem

Konstant's convexity theorem states that the projection of every coadjoint orbit of a connected compact Lie group into the dual of a Cartan subalgebra is a ...

An Introduction to Kostant's convexity theorem - Joseph Malkoun

λ, the latter convex hull being a convex polytope, since the orbit Σn.λ is finite. Joseph Malkoun (NDU). Kostant's convexity theorem. April 7th, ...

[2202.12966] A geometric take on Kostant's Convexity Theorem - arXiv

Title:A geometric take on Kostant's Convexity Theorem ... Abstract:Given a compact Lie group G and an orthogonal G-representation V, we give a ...

on the nonlinear convexity theorem of kostant

representation theory of G. Kostant's nonlinear convexity theorem now states that this set is the convex hull of the Weyl group orbit W· a in A. We remark ...

On the Kostant Convexity Theorem - jstor

A quick proof that the coadjoint orbits of a compact connected Lie group project onto convex polytopes in the dual of a Cartan subalgebra. 1. INTRODUCTION. Let ...

Kostant's Convexity Theorem and the Compact Classical Groups

The relationship between the classical Schur-Horn's theorem on the diagonal elements of a Hermitian matrix with prescribed eigenvalues and Kostant's ...

Kostant's Convexity Theorem for affine buildings

There are many versions of Kostant's Convexity Theorem which originally was proven for semisimple Lie-Groups. We show a similar theorem for affine.

A geometric take on Kostant's Convexity Theorem - arXiv

Kostant's celebrated “Convexity Theorem” [Kos73, Theorem 8.2] can be phrased as follows: Theorem 1 (Kostant). Let V be a real orthogonal ...

Convexity theorems in Harmonic Analysis - Heldermann-Verlag

I. Kostant's Convexity Theorem. Let G be a connected semisimple Lie group, g = L(G) its Lie algebra, and B(X, Y ) = tr(ad X adY ) its Cartan Killing form.

"On the Kostant convexity theorem" by Francois Ziegler

A quick proof that the coadjoint orbits of a compact connected Lie group project onto convex polytopes in the dual of a Cartan subalgebra.

An Infinite Dimensional Version of the Kostant Convexity Theorem

BFR93. A.M. Bloch, H. Flaschka, R. Ratiu. A Schur–Horn–Kostant Convexity Theorem for the diffeomorphism group of the annulus. Invent. Math., 113 (1993), pp. 511 ...

An Infinite Dimensional Version of the Kostant Convexity Theorem

In Section 11 we will use these tools to generalize the Kostant Convexity. Theorem to these classical Lie algebras. Here the knowledge of the structure of conv( ...

Kostant's convexity theorem and the compact classical groups

By using Kostant's convexity theorem, we work out the statements on the special orthogonal group and the symplectic group explicitly. Schur-Horn's result can be ...

Convexity theorems in Harmonic Analysis - CiteSeerX

One theorem which gives some information in this direction is Kostant's Convexity Theorem. In the following we consider a as an euclidean vector space, where ...

An Infinite Dimensional Version of the Kostant Convexity Theorem

In this paper we generalize the linear Kostant Convexity Theorem to Lie algebras of bounded linear operators on a Hilbert space: If t is a Cartan subspace.

SYMPLECTIC CONVEXITY THEOREMS AND APPLICATIONS TO ...

can be used to give a symplectic proof of Kostant's linear convexity theorem. Lu and Ratiu found a way to put even Kostant' s nonlinear theorem into a ...

A geometric take on Kostant's Convexity Theorem - Semantic Scholar

Given a compact Lie group G and an orthogonal G-representation V , we give a purely metric criterion for a closed subset of the orbit space ...

Kostant convexity for symmetric R-spaces revisited

The aforementioned theorem of Ferus says that all extrinsic symmetric submanifolds in Euclidean space are of this type. The following result is a special case ...

A Schur-Horn-Kostant convexity theorem for the diffeomorphism ...

The group of area preserving diffeomorphisms of the annulus acts on its Lie algebra, the globally Hamiltonian vectorfields on the annulus. We consider a ce.

generalized kostant convexity theorems

... Kostant's linear and non-linear convexity theorems [6] to projections to Levi subgroups. In the complex case, we are going to use a theorem.