generalized kostant convexity theorems

In mathematics, Kostant's convexity theorem, introduced by Bertram Kostant (1973), can be used to derive Lie-theoretical extensions of the Golden–Thompson ...

In this paper we give a simple proof of a result of Haines-Kapovich-Millson. [4], which generalizes Kostant's linear and non-linear convexity ...

Generalized Kostant Convexity Theorems - jstor

INTRODUCTION. In this paper we give a simple proof of a result of Haines-Kapovich-Millson. [4], which generalizes Kostant's linear and ...

An Introduction to Kostant's convexity theorem - Joseph Malkoun

We now return to the general setting: let g be a Lie algebra (not necessarily semisimple). Definition g is said to be nilpotent if the sequence ...

Generalized Kostant convexity theorems - ResearchGate

Download Citation | Generalized Kostant convexity theorems | We give a simple proof of the equality of the spectra for projections to Levi factors in the ...

[PDF] Generalized Kostant convexity theorems | Semantic Scholar

Generalized Kostant convexity theorems ... We give a simple proof of the equality of the spectra for projections to Levi factors in the linear and ...

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

We show that Kostant's Convexity Theorem partially generalizes from polar representations to submetries with a fat section.

Pacific Journal of Mathematics Vol. 124, No. 1, 1986

We generalize Kostant's convexity theorem for the Iwasawa decomposition of a real semisimple Lie group G to the following situation. Let τ be an involution ...

A geometric take on Kostant's Convexity Theorem - arXiv

The proof of (b) is straightfor- ward (see proof of Theorem C below for a generalization). In terms of quotient spaces, subsets of V/G (resp. Σ/ ...

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 ...

on the nonlinear convexity theorem of kostant

Here we identify A with its Lie algebra a via the exponential map; thus convexity in A makes sense. For a general semisimple Lie group G, the Gram-Schmidt ...

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 - Heldermann-Verlag

(Kostant's Convexity Theorem) Let a ∈ A. Then the set L(aK) equals the ... In the following we describe how this theorem can be generalized from.

An Extension of a Convexity Theorem of the Generalized ... - jstor

Tam, Kostant's convexity theorem and the compact classical groups, Linear and Multi- linear Algebra 43 (1997), 87-113. [13] T.Y. Tam, Generalized numerical ...

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( ...

A convexity theorem for semisimple symmetric spaces

We generalize Kostant's convexity theorem for the Iwasawa decom- position of a real semisimple Lie group G to the following situation. Let.

Convexity theorems in Harmonic Analysis - CiteSeerX

(Kostant's Convexity Theorem) Let a 2 A. Then the set L(aK) equals the ... In the following we describe how this theorem can be generalized from.

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.

Convexity theorems for symmetric spaces and representations of n ...

Both convexity theorems of Kostant have been generalized to the framework of symplectic geometry: see [2], [9], [23], [24], [35] for the linear convexity ...

Convexity theorems for semisimple symmetric spaces - NASA/ADS

The latter result generalized Kostant's non-linear convexity theorem for the Iwasawa decomposition of a real semisimple Lie group. The present generalization ...