The centers of spin symmetric group algebras and Catalan numbers

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dc.creatorTysse, Jill
dc.creatorWang, Weiqiang
dc.date2007-11-20
dc.date2008-02-14
dc.date.accessioned2026-07-07T12:34:59Z
dc.date.available2026-07-07T12:34:59Z
dc.descriptionGeneralizing the work of Farahat-Higman on symmetric groups, we describe the structures of the even centers Z_n of integral spin symmetric group superalgebras, which lead to universal algebras termed as the spin FH-algebras. A connection between the odd Jucys-Murphy elements and the Catalan numbers is developed and then used to determine the algebra generators of the spin FH-algebras and of the even centers Z_n.
dc.description18 pages, v2, added a new reference with comments in 1.3, minor changes, to appear in J. Algebraic Combinatorics
dc.identifierhttps://arxiv.org/abs/0711.3054
dc.identifierhttp://arxiv.org/abs/0711.3054
dc.identifierJ. Algebr. Combin. 29 (2009), 175--193.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217635
dc.subjectCombinatorics
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleThe centers of spin symmetric group algebras and Catalan numbers
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