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| Titel: |
Quantum groups at roots of ±1 |
| Auteur: |
Andersen, Henning Haahr |
| Verschenen in: |
Communications in algebra |
| Paginering: | Jaargang 24 (1996) nr. 10 pagina's 3269-3282 |
| Jaar: |
1996 |
| Inhoud: |
Apart from being of interest in its own right, the representation theory for quantum groups at roots of unity enters into Lusztig's programme (see e.g. [Lus94]) for determining the irreducible characters of semi-simple algebraic groups in characteristic p > 0. In [AJS94] this connection plays a key role. There our assumption is that the root of unity has odd order (bigger than the Coxeter number). Using the recent work of Kashiwara - Tanisaki, [KT95a] and [KT95b] together with the Kazhdan-Lusztig equivalence of categories, [KL93], [KL94] and [Lus94] it is possible to get rid of this oddness assumption as far as the determination of irreducible characters for quantum groups goes, see also [Kan95]. In this note we show how we can do this much more directly staying inside the theory for quantum groups. To be more specific we prove the following result (see below for more details and notations). |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 16 van 23 gevonden artikelen
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