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Cosemisimple Bialgebras and Discrete Quantum Semigroups

✍ Scribed by Eduard Vaysleb

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 223 KB
Volume: 197
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7117

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✦ Synopsis

We show for a cosemisimple bialgebra that a standard *-operation making it into a discrete quantum semigroup must be unique. It may not exist: we prove such an Ž Ž .. operation on a cosemisimple O O SL ‫ރ‬ exists if and only if the parameter q is q 2 real. We also conclude that discrete quantum groups form a more restrictive class than cosemisimple *-Hopf algebras.

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