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
Complexity of Representations of Quantised Function Algebras and Representation Type
β Scribed by Iain Gordon
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 287 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
Ε½ q . w x B be opposite Borel subgroups of G, and αΏ s Lie B . Let O G be the β quantised function algebra at a root of unity β and let U G 0 be the quantised β enveloping algebra of αΏ at a root of unity. We study the finite dimensional factor w xΕ½ . G 0 Ε½ . y algebras O G g and U b for g g G and b g B , which were introduced by β β
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