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
Degrees of Quantum Function Algebras at Roots of 1
โ Scribed by Giovanni Gaiffi
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 215 KB
- Volume
- 180
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
In this paper we will deal with quantum function algebras F G in the special q case when the parameter q specializes to a root of 1. Using a combinatorial technique, we will give general formulas for the degree of such algebras and of a particular family of quotients which are fundamental objects in representation theory.
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