Gelfand models and Robinson-Schensted correspondence
| Autor: | Roberta Fulci, Fabrizio Caselli |
|---|---|
| Přispěvatelé: | F. Caselli, R. Fulci |
| Rok vydání: | 2011 |
| Předmět: |
Algebra and Number Theory
Direct sum COMPLEX REFLECTION GROUPS Robinson–Schensted correspondence Combinatorics Reflection (mathematics) Conjugacy class Clifford theory CLIFFORD THEORY CHARACTERS AND REPRESENTATIONS OF FINITE GROUPS Mathematics::Quantum Algebra FOS: Mathematics Discrete Mathematics and Combinatorics Mathematics - Combinatorics Combinatorics (math.CO) Algebra over a field Representation Theory (math.RT) Mathematics::Representation Theory Mathematics - Representation Theory Mathematics |
| DOI: | 10.48550/arxiv.1101.5021 |
| Popis: | In [F. Caselli, Involutory reflection groups and their models, J. Algebra 24 (2010), 370--393] there is constructed a uniform Gelfand model for all non-exceptional irreducible complex reflection groups which are involutory. Such model can be naturally decomposed into the direct sum of submodules indexed by $S_n$-conjugacy classes, and we present here a general result that relates the irreducible decomposition of these submodules with the projective Robinson-Schensted correspondence. This description also reflects in a very explicit way the existence of split representations for these groups. Comment: 23 pages |
| Databáze: | OpenAIRE |
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