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Crystal bases and simple modules for Hecke algebra of type Dn

✍ Scribed by Jun Hu

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
158 KB
Volume
267
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES

Branching rules for Hecke algebras of ty
Branching rules for Hecke algebras of type Dn
✍ Jun Hu πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 208 KB

## Abstract In this paper we study the branching problems for the Hecke algebra ℋ︁(__D__ ~__n__~ ) of type __D__ ~__n__~ . We explicitly describe the decompositions into irreducible modules of the socle of the restriction of each irreducible ℋ︁(__D__ ~__n__~ )‐representation to ℋ︁(__D__ ~__n__ –1~)

Level Zero Types and Hecke Algebras for
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✍ Martin Grabitz; Allan J Silberger; Ernst-Wilhelm Zink πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 296 KB

Let D be a central division algebra and A Γ— =GL m (D) the unit group of a central simple algebra over a p-adic field F. The purpose of this paper is to give types (in the sense of Bushnell and Kutzko) for all level zero Bernstein components of A Γ— and to establish that the Hecke algebras associated