Version 1
: Received: 28 February 2019 / Approved: 1 March 2019 / Online: 1 March 2019 (12:25:47 CET)
How to cite:
Hadrami Bouleryah, M.L. Convexity and Toeplitz Quantization: Kostant's Theorem for the symplectomorphism group of the sphere. Preprints2019, 2019030010. https://doi.org/10.20944/preprints201903.0010.v1
Hadrami Bouleryah, M.L. Convexity and Toeplitz Quantization: Kostant's Theorem for the symplectomorphism group of the sphere. Preprints 2019, 2019030010. https://doi.org/10.20944/preprints201903.0010.v1
Hadrami Bouleryah, M.L. Convexity and Toeplitz Quantization: Kostant's Theorem for the symplectomorphism group of the sphere. Preprints2019, 2019030010. https://doi.org/10.20944/preprints201903.0010.v1
APA Style
Hadrami Bouleryah, M.L. (2019). Convexity and Toeplitz Quantization: Kostant's Theorem for the symplectomorphism group of the sphere. Preprints. https://doi.org/10.20944/preprints201903.0010.v1
Chicago/Turabian Style
Hadrami Bouleryah, M.L. 2019 "Convexity and Toeplitz Quantization: Kostant's Theorem for the symplectomorphism group of the sphere" Preprints. https://doi.org/10.20944/preprints201903.0010.v1
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.
Computer Science and Mathematics, Geometry and Topology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
