Representations of \(\mathfrak S_\infty\) admissible with respect to Young subgroups. (English. Russian original) Zbl 1248.20013

Nessonov, N. I.

Sb. Math. 203, No. 3, 424-458 (2012); translation from Mat. Sb. 203, No. 3, 127-160 (2012).

MSC:

20C32	Representations of infinite symmetric groups
20B30	Symmetric groups
05E10	Combinatorial aspects of representation theory
22D10	Unitary representations of locally compact groups
22D25	\(C^*\)-algebras and \(W^*\)-algebras in relation to group representations
46L10	General theory of von Neumann algebras

Keywords:

factor representations; Young subgroups; admissible representations; infinite symmetric group; finite permutations