Convexity and Toeplitz Quantization: Kostant's Theorem for the symplectomorphism group of the sphere

2019 · doi:10.20944/preprints201903.0010.v1
preprint OA: closed CC-BY-4.0
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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.

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License: CC-BY-4.0