REGULAR FUNCTIONS ON THE SHILOV BOUNDARY-Reference-Cited by-同舟云学术

REGULAR FUNCTIONS ON THE SHILOV BOUNDARY

Published:2005-12 Issue:06 Volume:04 Page:613-629
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

BERSHTEIN OLGA¹

Affiliation:

1. Institute for Low Temperature Physics and Engineering, 47 Lenin Ave., Kharkov, 61103, Ukraine

Abstract

In this paper a *-algebra of regular functions on the Shilov boundary S(𝔻) of bounded symmetric domain 𝔻 is constructed. The algebras of regular functions on S(𝔻) are described in terms of generators and relations for two particular series of bounded symmetric domains. Also, the degenerate principal series of quantum Harish–Chandra modules related to S(𝔻) = Un is investigated.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498805001447

Reference21 articles.

1. Construction and Classification of Irreducible Harish—Chandra Modules

2. J. A. Wolf, Fine structure of Hermitian symmetric spaces, Pure and Appl. Math. 8, eds. W. M. Boothby and G. L. Weiss (Dekker, New York, 1972) pp. 271–357.

3. Non-compact quantum groups and quantum Harish-Chandra modules

4. Algebras of Functions on Quantum Groups: Part I

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