Regular functions on the Shilov boundary

Details Regular functions on the Shilov boundary Regular functions on the Shilov boundary

2004-11-05

arxiv.org/abs/math/0411118v2

Mathematics

Quantum Algebra

17 pages

Scientific paper

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.

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