2 papers
math.RT2026
Semigroup approach to admissible representations of the infinite symmetric group
Irina Devyatkova
Let denote the group of finitary permutations of the set . It is a countable group admitting a lot of different topologies compatible with t…
math.RT2025
Limits of group algebras for growing symmetric groups and wreath products
Irina Devyatkova, Grigori Olshanski
Let denote the infinite symmetric group formed by the finitary permutations of the set of natural numbers; this is a countable group. We introduce its virtual group alg…