Teoria delle rappresentazioni The Okounkov-Vershik approach to the representation theory of wreath product $G sim S_n$ Ashish Mishra 09-06-2016 - 12:00 AULA 311 (SEMINARI) Largo San L. Murialdo,1
In the Okounkov–Vershik approach to the complex irreducible representations of $S_n$ and $G sim S_n, we parametrize the irreducible representations and their bases by spectral objects rather than combinatorial objects and then, at the end, give a bijection between the spectral and combinatorial objects. The fundamental ideas are similar in both cases, but there are additional technicalities involved in the $G sim S_n$ case. This was carried out by Pushkarev (J Math Sci 96:3590–3599, 1999). The present work gives a fully detailed exposition of Pushkarev’s theory incorporating the following new elements |