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arxiv: 1609.01049 · v2 · pith:FV6GPIWOnew · submitted 2016-09-05 · 🧮 math.FA

Noncommutative probability of type D

classification 🧮 math.FA
keywords typefockspacealphaanalogousbrowniancomingconstruct
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We construct a deformed Fock space and a Brownian motion coming from Coxeter groups of type D. The construction is analogous to that of the $q$-Fock space (of type A) and the $(\alpha,q)$-Fock space (of type B).

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