Hecke algebras and harmonic analysis on finite groups
Let G be a finite group, K a subgroup and (σ, V ) an irreducible representation of K. Then the Hecke algebra associated with the triple (G, K, σ) is the commutant of the induced representation Ind^G_K σ. In [3] Curtis and Fossum derived several explicit expressions for the characters of Hecke algebr...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sapienza Università Editrice
2013-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2013(1-2)/27-52.pdf |
| Summary: | Let G be a finite group, K a subgroup and (σ, V ) an irreducible representation of K. Then the Hecke algebra associated with the triple (G, K, σ) is the commutant of the induced representation Ind^G_K σ. In [3] Curtis and Fossum derived several explicit expressions for the characters of Hecke algebras. In the present paper we give an exposition of their results (see also [5], pp. 279-291) in the language of finite harmonic analysis. In
particular, we show the connection with the theory of finite Gelfand pairs.
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| ISSN: | 1120-7183 2532-3350 |