N-homogeneous superalgebras

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dc.creatorHai, Phung Ho
dc.creatorKriegk, Benoit
dc.creatorLorenz, Martin
dc.date2007-04-14
dc.date2007-06-04
dc.date.accessioned2026-07-07T08:09:14Z
dc.date.available2026-07-07T08:09:14Z
dc.descriptionWe develop the theory of N-homogeneous algebras in a super setting, with particular emphasis on the Koszul property. To any Hecke operator on a vector superspace, we associate certain superalgebras and generalizing the ordinary symmetric and Grassmann algebra, respectively. We prove that these algebras are N-Koszul. For the special case where the Hecke operator is the ordinary supersymmetry, we derive an $N$-generalized super-version of MacMahon's classical "master theorem".
dc.description42 pages, LaTeX; typos corrected, several references added, introduction slightly expanded
dc.identifierhttps://arxiv.org/abs/0704.1888
dc.identifierhttp://arxiv.org/abs/0704.1888
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131476
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.subject16S37; 05A19
dc.titleN-homogeneous superalgebras
dc.typetext

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