Preprint
Article
Convexity and Toeplitz Quantization: Kostant's Theorem for the symplectomorphism group of the sphere
This version is not peer-reviewed.
Submitted:
28 February 2019
Posted:
01 March 2019
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Abstract
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 symplectomorphisms of the unit sphere and we also give another proof of the infinite dimensional version of Schur and Horn theorem for the sphere based on Schur and Horn theorem for Hermitian matrices.
Keywords:
Toeplitz quantization
; decreasing rearrangement
; majorization
; spectral measure
; measure preserving transformation
; Hermitian matrices
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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