Parameters for Generalized Hecke Algebras in Type B
| Autor: | Seth Shelley-Abrahamson, Max Murin |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Hecke algebra Algebra and Number Theory Computer Science::Information Retrieval Applied Mathematics 010102 general mathematics Coxeter group Astrophysics::Instrumentation and Methods for Astrophysics Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing) Type (model theory) 01 natural sciences Symmetric group Irreducible representation 0103 physical sciences FOS: Mathematics Bijection Computer Science::General Literature 010307 mathematical physics Representation Theory (math.RT) 0101 mathematics Mathematics::Representation Theory Mathematics - Representation Theory Mathematics |
| Popis: | The irreducible representations of full support in the rational Cherednik category $\mathcal{O}_c(W)$ attached to a Coxeter group $W$ are in bijection with the irreducible representations of an associated Iwahori-Hecke algebra. Recent work has shown that the irreducible representations in $\mathcal{O}_c(W)$ of arbitrary given support are similarly governed by certain generalized Hecke algebras. In this paper we compute the parameters for these generalized Hecke algebras in the remaining previously unknown cases, corresponding to the parabolic subgroup $B_n \times S_k$ in $B_{n+k}$ for $k \geq 2$ and $n \geq 0$. 19 pages. v2: minor revisions. v3: minor revisions, final version, to appear in the Journal of Algebra and Its Applications |
| Databáze: | OpenAIRE |
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