On a class of algebras defined by partitions

dc.creatorRegev, A.
dc.date2002-10-14
dc.date.accessioned2026-07-07T04:51:54Z
dc.date.available2026-07-07T04:51:54Z
dc.descriptionA class of associative (super) algebras is presented, which naturally generalize both the symmetric algebra $Sym(V)$ and the wedge algebra $\wedge (V)$, where $V$ is a vector-space. These algebras are in a bijection with those subsets of the set of the partitions which are closed under inclusions of partitions. We study the rate of growth of these algebras, then characterize the case where these algebras satisfy polynomial identities.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0210195
dc.identifierhttp://arxiv.org/abs/math/0210195
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65274
dc.subjectCombinatorics
dc.subject05A17, 05E10, 16S99, 20C30
dc.titleOn a class of algebras defined by partitions
dc.typetext

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