$\mathbb Z_n$--graded Independence

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dc.creatorGoodman, Frederick M.
dc.date2002-06-27
dc.date2002-07-06
dc.date.accessioned2026-07-07T04:49:25Z
dc.date.available2026-07-07T04:49:25Z
dc.descriptionWe generalize results of Mingo and Nica on graded independence from the context of $\mathbb Z_2$--graded (Fermionic) noncommutative probability spaces to that of $\mathbb Z_n$--graded noncommutative probability spaces. We show that for $q$ a primitive $n$-th root of unity, the $q$-cumulants defined by Nica linearize the addition of homogeneous $\mathbb Z_n$--graded independent random variables.
dc.description16 pages, Latex. Minor revision
dc.identifierhttps://arxiv.org/abs/math/0206296
dc.identifierhttp://arxiv.org/abs/math/0206296
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64417
dc.subjectOperator Algebras
dc.subjectProbability
dc.subject46L53
dc.title$\mathbb Z_n$--graded Independence
dc.typetext

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