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Kostant's convexity theorem


Kostant convexity for affine buildings - De Gruyter

We prove an analogue of Kostant's convexity theorem for thick affine buildings and give an application for groups with affine BN -pairs.

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.

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

A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus. A.M. Bloch; H. Flaschka; T. Ratiu.

Kostant Convexity for affine buildings - NASA/ADS

We prove an analogue of Kostants convexity theorem for thick affine buildings and give an application for groups with affine BN-pair.

Convex analysis on Cartan subspaces - Cornell University

The result is a surprising and elegant interplay between semisimple Lie theory and classical convex analysis. 2. The Kostant convexity theorem. In both von ...

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.

On the Nonlinear Convexity Theorem of Kostant - ResearchGate

The method uses a weak subgradient of the objective function at a current point to generate a new one at every iteration. The concept of the weak subgradient is ...

Kostant convexity for affine buildings - De Gruyter

2000 Mathematics Subject Classification: 20E42; 20G25. 1 Introduction. Kostant [Kos73] proved a convexity theorem for symmetric spaces, generalizing a well-.

Generalized Kostant Convexity Theorems - jstor

... 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.

Symplectic convexity theorems and coadjoint orbits - Numdam

that point it was essential to assume that the symplectic manifold was compact. Nevertheless, using Kostant's theorem Paneitz in 1984 and Olafsson in 1990 were.

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

It is therefore best to introduce it at this early stage. Page 3. A Schur-Horn-Kostant convexity theorem. 513 may be undergraduate linear algebra, but the ...

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

convexity theorem, called Kostant's non-linear convexity theorem, in which the lin- ear projection is replaced by the Iwasawa projection HP : G → a ...

Convexity and Toeplitz Quantization: Kostant's Theorem For The ...

Keywards: Symplectic Geometry,Toeplitz quantization, decreasing rearrange- ment, mojorization, convexity, Hermitian matrix, measure preserving ...

Pacific Journal of Mathematics Vol. 162, No. 2, 1994

In this paper we prove a convexity theorem for semisimple symmetric spaces which generalizes Kostant's convexity theorem for Riemannian symmetric spaces.

(PDF) On the Kostant Convexity Theorem - Proceedings of the

On the Kostant Convexity Theorem by Francois Ziegler published in Proceedings of the American Mathematical Society.

Kostant's Theorem for the symplectomorphism group of the sphere[v1]

In this paper we use Toeplitz quantization to extend in a very natural way Kostant's theorem for the group $SU(m)$ to the group of ...

[PDF] Convexity and Commuting Hamiltonians - Semantic Scholar

... Kostant's convexity theorem in the context of Lie groups. By… Expand. 19 Citations. Add to Library. Alert. On the nonlinear convexity theorem of Kostant · Jiang ...

Bertram Kostant - Wikipedia

Bertram Kostant (May 24, 1928 – February 2, 2017) was an American mathematician who worked in representation theory, differential geometry, and mathematical ...

Non-discrete affine buildings and convexity - NASA/ADS

... theory of buildings. In this paper we prove a version of Kostant's convexity theorem for thick non-discrete affine buildings. Kostant proves that the image ...

On convexity, the Weyl group and the Iwasawa decomposition

Kostant, Bertram. "On convexity, the Weyl group and the Iwasawa ... convexity theorems and coadjoint orbits. NotesEmbed ? top. You must be logged ...