On representations of the infinite symmetric group

DOI10.1007/BF02175834zbMath0959.20016arXivmath/9803037MaRDI QIDQ1966352

Andrei Okounkov

Publication date: 7 March 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9803037

zbMATH Keywords

charactersinfinite symmetric groupsirreducible admissible representationsOl'shanskij pairs

Mathematics Subject Classification ID

Representations of infinite symmetric groups (20C32)

Related Items (14)

Boolean Witt vectors and an integral Edrei-Thoma theorem ⋮ Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties ⋮ Tame representations of the group $\operatorname{GL}(\infty,\mathbb{F}_q)$ ⋮ Asymptotic theory of path spaces of graded graphs and its applications ⋮ KMS states on \(\mathfrak S_\infty\) invariant with respect to the Young subgroups. ⋮ Characters of the infinite symmetric inverse semigroup ⋮ Partial isomorphisms over finite fields ⋮ Total positivity in loop groups. I: Whirls and curls ⋮ On diagonal actions of branch groups and the corresponding characters ⋮ Macdonald-positive specializations of the algebra of symmetric functions: proof of the Kerov conjecture ⋮ On subfactors arising from asymptotic representations of symmetric groups ⋮ Affine Birman–Wenzl–Murakami algebras and tangles in the solid torus ⋮ The problem of describing central measures on the path spaces of graded graphs ⋮ Applications of symmetric functions to cycle and increasing subsequence structure after shuffles

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