- [2202.12966] A geometric take on Kostant's Convexity Theorem🔍
- A geometric take on Kostant's Convexity Theorem🔍
- Ricardo Mendes🔍
- Kostant's convexity theorem🔍
- Ricardo A. E. Mendes🔍
- on the nonlinear convexity theorem of kostant🔍
- An Introduction to Kostant's convexity theorem🔍
- On the Kostant Convexity Theorem🔍
A geometric take on Kostant's Convexity Theorem
[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 ...
A geometric take on Kostant's Convexity Theorem - arXiv
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 V / ...
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 ...
Ricardo Mendes, abstract - University of Oregon
Title: A geometric take on Kostant's Convexity Theorem Abstract: We characterize convex subsets of Rn invariant under the linear action of a compact group G ...
Kostant's convexity theorem - Wikipedia
In mathematics, Kostant's convexity theorem, introduced by Bertram Kostant (1973), can be used to derive Lie-theoretical extensions of the Golden–Thompson ...
Ricardo A. E. Mendes - Publications - OU Math
Kummer) "Two results on the Convex Algebraic Geometry of sets with continuous symmetries", ... "A geometric take on Kostant's Convexity Theorem", submitted for ...
on the nonlinear convexity theorem of kostant
We will use the following theorem of Duistermaat to study the case of real ... But since 7C is not. K-invariant, the already existing geometric quantization ...
An Introduction to Kostant's convexity theorem - Joseph Malkoun
Taking the conjugate transpose of the previous equation shows that ... We can now reformulate the Schur-Horn theorem in more geometric terms.
On the Kostant Convexity Theorem - jstor
For the converse inclusion we use a variational method inspired from [6]. ... Bott, The geometry and representation theory of compact Lie groups, Representation.
Convexity and Commuting Hamiltonians
Our proofs are quite different from those of Kostant (at least for the difficult part) and depend on some Morse theory ideas first employed by T. Frankel [2].
Ricardo Augusto E. Mendes - OU Math
18. Mendes, R. A. E.. A geometric take on Kostant's Convexity Theorem, submitted for publication. 17. Bettiol, R., Kummer, ...
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.
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.
The Geometry of the Full Kostant-Toda Lattice - SpringerLink
A. M. Bloch, H. Flaschka, T. Ratiu, “A convexity theorem for isospectral manifolds of Jacobi matrices in a compact Lie algebra”, Duke Math.
An Extension of a Convexity Theorem of the Generalized ... - jstor
The geometry behind the partial ordering << is like that behind ... Tam, Kostant's convexity theorem and the compact classical groups, Linear and Multi-.
(PDF) A Schur-Horn-Kostant convexity theorem for the ...
This suggests that one could, in principle, use this tool in dealing with convexity problems such as those in the papers of Bloch, Flaschka, and Ratiu [4] or of ...
A Convexity Theorem For Isoparametric Submanifolds
We first state a convexity theorem by Kostant ([K], 1973) for symmetric ... The next theorem states that the Riemannian geometric condition of ...
On convexity, the Weyl group and the Iwasawa decomposition
How to cite ... Kostant, Bertram. "On convexity, the Weyl group and the Iwasawa decomposition." Annales scientifiques de l'École Normale Supérieure 6.4 (1973): ...
Convexity Properties of the Moment Mapping Re-examined
The idea to use the length function as a tool in invariant theory is due to Kempf and ... Ratiu, On the nonlinear convexity theorem of Kostant, J. Amer. Math. Soc ...
The goal of this post is to prove Kostant's theorem on the quadratic generation of the homogeneous ideals of partial flag varieties.