Decomposition Numbers for Generic Iwahori–Hecke Algebras of Noncrystallographic Type
✍ Scribed by Jürgen Müller
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 256 KB
- Volume
- 189
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
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 theory and by application of the computer algebra systems GAP, CHEVIE, VectorEnumerator and MeatAxe. ᮊ 1997 Academic Press 2 3 4
pretation in the framework of the representation theory of groups of Lie type, it seems worthwhile to have complete results for all types, which also gives us the possibility to check them for similarities and differences between the crystallographic and noncrystallographic cases.
Another motivation to study the noncrystallographic types is to extend results on the automorphisms of generic Iwahori᎐Hecke algebras of crysw x tallographic type obtained by Bleher, Geck, and Kimmerle 2 .
We determine 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 2 3 4 125