On *-representations of $U_{q}(sl(2))$: more real forms

Eduard Vaysleb

ArticleOriginal scientific text

Title

On *-representations of $U_{q} (s l (2))$ : more real forms

Authors ¹

Affiliations

Department of Mathematics, UCLA, 405 Hilgard Ave., Los Angeles, California 90095-1555, USA

Abstract

The main goal of this paper is to do the representation-theoretic groundwork for two new candidates for locally compact (nondiscrete) quantum groups. These objects are real forms of the quantized universal enveloping algebra

U_{q} (s l (2))

and do not have real Lie algebras as classical limits. Surprisingly, their representations are naturally described using only bounded (in one case only two-dimensional) operators. That removes the problem of describing their Hopf structure 'on the Hilbert space level'([W]).

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Title

On *-representations of Uq(sl(2)): more real forms

Affiliations

Abstract

Bibliography

On *-representations of $U_{q} (s l (2))$ : more real forms