Probability measures on families of partitions related to harmonic analysis on big wreath products
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916071073644544 |
|---|---|
| author | Strahov, Eugene |
| author_facet | Strahov, Eugene |
| contents | 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 by probability measures on families of partitions called the $z$-measures for the wreath product of a compact group with the symmetric group in the present paper. Our main result is an explicit formula for these $z$-measures which holds true for an arbitrary compact group. The result enables us to describe the spectral measures of the generalized regular representations of big wreath products. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_08394 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Probability measures on families of partitions related to harmonic analysis on big wreath products Strahov, Eugene Representation Theory Combinatorics Probability 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 by probability measures on families of partitions called the $z$-measures for the wreath product of a compact group with the symmetric group in the present paper. Our main result is an explicit formula for these $z$-measures which holds true for an arbitrary compact group. The result enables us to describe the spectral measures of the generalized regular representations of big wreath products. |
| title | Probability measures on families of partitions related to harmonic analysis on big wreath products |
| topic | Representation Theory Combinatorics Probability |
| url | https://arxiv.org/abs/2505.08394 |