✦ LIBER ✦

Quantum Groups and Quantum Semigroups

✍ Scribed by Takahiro Hayashi

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 358 KB
Volume: 204
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7355

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✦ Synopsis

We construct a functor from a certain category of quantum semigroups to a Ž Ž .. category of quantum groups, which, for example, assigns Fun Mat N to q Ž Ž .. Ž . Fun GL N . Combining with a generalization of the Faddeev᎐ q Reshetikhin᎐Takhtadzhyan construction, we obtain quantum groups with universal R-matrices for every constant solution of the Yang᎐Baxter equation of both vertex and face type. ᮊ 1998 Academic Press R that the Hopf closure construction agrees with the localization with 225

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