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Quantised Function Algebras at Roots of Unity and Path Algebras

✍ Scribed by Iain Gordon

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 130 KB
Volume: 220
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.7980

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✦ Synopsis

Let G be a semisimple algebraic group and a primitive th root of unity. In this paper we realise certain restricted quantised enveloping algebras of Borel subalgebras of semisimple Lie algebras and the analogue of these restricted enveloping algebras for O G as path algebras of certain quivers. This extends several results in Cibils (Internat. Math. Res. Notices 12 (1997), 541-553). As an application of this description we describe the extensions of simple modules of the quotient of O G .

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