Infinite Tri-symmetric Group, Multiplication of Double Cosets, and Checker Topological Field Theories

DOI10.1093/imrn/rnr027zbMath1319.57021arXiv0909.4739OpenAlexW1957410242MaRDI QIDQ3225184

Yuriĭ A. Neretin

Publication date: 15 March 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4739

zbMATH Keywords

topological field theoryinfinite symmetric groupdouble coset

Mathematics Subject Classification ID

Topological quantum field theories (aspects of differential topology) (57R56) Representations of infinite symmetric groups (20C32)

Related Items (11)

Several remarks on groups of automorphisms of free groups ⋮ Infinite symmetric groups and combinatorial constructions of topological field theory type ⋮ Combinatorial encodings of infinite symmetric groups and descriptions of semigroups of double cosets ⋮ A remark on representations of infinite symmetric groups. ⋮ On realizations of representations of the infinite symmetric group. ⋮ Sphericity and multiplication of double cosets for infinite-dimensional classical groups ⋮ Multiplication of conjugacy classes, colligations, and characteristic functions of matrix argument ⋮ A product on double cosets of \(B_\infty\) ⋮ Multi-operator colligations and multivariate characteristic functions ⋮ On an infinite-dimensional limit of the Steinberg representations. ⋮ Infinite symmetric group, pseudomanifolds, and combinatorial cobordism-like structures

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