Quantum sphere S^4 as a non-Levi conjugacy class
Quantum Algebra
2015-05-30 v2 Mathematical Physics
math.MP
Representation Theory
Abstract
We construct a U_h(sp(4))-equivariant quantization of the four-dimensional complex sphere S^4 regarded as a conjugacy class, Sp(4)/Sp(2)x Sp(2), of a simple complex group with non-Levi isotropy subgroup, through an operator realization of the quantum polynomial algebra C_h[S^4] on a highest weight module of U_h(sp(4)).
Cite
@article{arxiv.1110.2619,
title = {Quantum sphere S^4 as a non-Levi conjugacy class},
author = {Andrey Mudrov},
journal= {arXiv preprint arXiv:1110.2619},
year = {2015}
}
Comments
17 pages, no figures