$\mathbb Z_n$--graded Independence

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We 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.
16 pages, Latex. Minor revision

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Operator Algebras, Probability, 46L53

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http://salesiana.dossiersoluciones.com/handle/123456789/64417

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206296
 http://arxiv.org/abs/math/0206296

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arXiv