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On Semi-groups Arising from Quantum Groups

✍ Scribed by Zhen-hua Wang

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 106 KB
Volume: 212
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7631

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✦ Synopsis

Let G be a quantum group. In this paper, we introduce and completely q characterize a semi-group and its Borel sub-semi-groups consisting of algebra w x homomorphisms from the coordinate algebra k G of G . Also, we present q q invariant elements for the semi-group, which are closely connected to Hopf ideals w x of k G . Finally, based on the theory of structures of the semi-group, we prove the q existence of a Frobenius morphism over G whenever the parameter q is a root of q unity. ᮊ 1999 Academic Press *I take this opportunity to give my special thanks to Professors Jian-pan Wang and Jian-yi Shi for their leading me into the field of quantum groups, and Jia-shen Ye for much encouragement.

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