The Algebra of Conjugacy Classes in Symmetric Groups and Partial Permutations

Simple item page
dc.creatorIvanov, Vladimir
dc.creatorKerov, Sergei
dc.date2003-02-18
dc.date.accessioned2026-07-07T04:55:22Z
dc.date.available2026-07-07T04:55:22Z
dc.descriptionWe prove a convolution formula for the conjugacy classes in symmetric groups conjectured by the second author. A combinatorial interpretation of coefficients is provided. As a main tool we introduce new semigroup of partial permutations. We describe its structure, representations, and characters. We also discuss filtrations on the subalgebra of invariants in the semigroup algebra.
dc.descriptionAMS-TeX, 19 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0302203
dc.identifierhttp://arxiv.org/abs/math/0302203
dc.identifierJournal of Mathematical Sciences (Kluwer) 107 (2001) no.5 4212-4230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66551
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.subject05E10 (Primary) 20B30, 20C30, 20C32, 20E45 (Secondary)
dc.titleThe Algebra of Conjugacy Classes in Symmetric Groups and Partial Permutations
dc.typetext

Files

Collections

arXiv