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

Vaysleb, Eduard

On *-representations of

U_{q} (s l (2))

: more real forms

Vaysleb, Eduard

Banach Center Publications, Tome 38 (1997), p. 59-65 / Harvested from The Polish Digital Mathematics Library

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Résumé

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]).

Publié le : 1997-01-01

Zbl 0872.17010

EUDML-ID : urn:eudml:doc:252183

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     title = {On *-representations of $U\_{q}(sl(2))$: more real forms},
     journal = {Banach Center Publications},
     volume = {38},
     year = {1997},
     pages = {59-65},
     zbl = {0872.17010},
     language = {en},
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Vaysleb, Eduard. On *-representations of $U_{q}(sl(2))$: more real forms. Banach Center Publications, Tome 38 (1997) pp. 59-65. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv40z1p59bwm/

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