We compute the ⌽ -modular decomposition matrices for the generic e Ž . Iwahori᎐Hecke algebras of type I m for m g ,ގ m ) 2, H , and H , for all 2 3 4 e g ގ leading to nontrivial decomposition maps. The results are obtained by a combined use of different ideas from computational representation th
Centralizers of Iwahori-Hecke Algebras II: The General Case
✍ Scribed by Andrew Francis
- Publisher
- World Scientific Publishing Company
- Year
- 2003
- Tongue
- English
- Weight
- 183 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1005-3867
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📜 SIMILAR VOLUMES
This paper arose out of an attempt to generalize the q q -1 -basis for the centre of an Iwahori-Hecke algebra q found by Jones to q q -1 and to other types. Considering the Iwahori-Hecke algebra over a subring ξ of q 1/2 q -1/2 , where ξ = q 1/2q -1/2 , we use a new and natural definition of positiv
We consider the "anti-dominant" variants Θ - λ of the elements Θ λ occurring in the Bernstein presentation of an affine Hecke algebra H. We find explicit formulae for Θ - λ in terms of the Iwahori-Matsumoto generators T w (w ranging over the extended affine Weyl group of the root system R), in the c