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Matrix-Element Bialgebras Determined by Quadratic Coordinate Algebras

✍ Scribed by A. Sudbery

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 781 KB
Volume: 158
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1993.1137

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✦ Synopsis

We develop the theory of Manin's construction of quantum groups from finitely generated quadratic algebras. In general, this construction yields a bialgebra with matrix comultiplication. We give formulae for the relations in the algebra and sufficient conditions for the existence of an antipode and for polynomiality of the algebra; these are more systematic than the calculational approach of previous treatments. 1993 Academic Press, Inc.

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