Let G be a finite group and K ≤ G a subgroup. Recalling the equality between the induced representation (IndKGιK,IndKGℂ) and the permutation representation (λ, L(G)K), (1.11) yields a ∗-algebra isomorphism between the algebra of bi-K-invariant functions on G and the commutant of the representation obtained by inducing to G the trivial representation of K.
Ceccherini-Silberstein, T., Scarabotti, F., Tolli, F. (2020). Hecke algebras. In Lecture Notes in Mathematics (pp. 11-29). GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND : Springer Science and Business Media Deutschland GmbH [10.1007/978-3-030-51607-9_2].
Hecke algebras
Tolli F.
2020-01-01
Abstract
Let G be a finite group and K ≤ G a subgroup. Recalling the equality between the induced representation (IndKGιK,IndKGℂ) and the permutation representation (λ, L(G)K), (1.11) yields a ∗-algebra isomorphism between the algebra of bi-K-invariant functions on G and the commutant of the representation obtained by inducing to G the trivial representation of K.File in questo prodotto:
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