%0 Journal Article
%T Regular functions on the Shilov boundary
%A Olga Bershtein
%J Mathematics
%D 2004
%I arXiv
%X In this paper a quantum analog of the $*$-algebra of regular functions on the Shilov boundary $S(\mathbb D)$ of bounded symmetric domain $\mathbb D$ is constructed. The algebras of regular functions on $S(\mathbb D)$ are described in terms of generators and relations for two particular series of bounded symmetric domains. Also, the degenerate principal series of quantum Harich-Chandra modules related to $S(\mathbb D)=U_n$ is investigated.
%U http://arxiv.org/abs/math/0411118v2