E. Strahov

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math.RT2025

Probability measures on families of partitions related to harmonic analysis on big wreath products

Eugene Strahov

We construct generalized regular representations of the wreath product of a compact group with the infinite symmetric group. The characters of these representations are determined…

math.RT2024

Generalized regular representations of big wreath products

Eugene Strahov

Let $G$ be a finite group with $k$ conjugacy classes, and $S (\infty)$ be the infinite symmetric group, i.e. the group of finite permutations of ${1, 2, 3, \dots}$ . Then…