Noncommutative probability of type D-Reference-Cited by-同舟云学术

Noncommutative probability of type D

Published:2017-02 Issue:02 Volume:28 Page:1750010
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Bożejko Marek¹,Ejsmont Wiktor²³,Hasebe Takahiro⁴

Affiliation:

1. Instytut Matematyczny, Polska Akademia Nauk, Ulica Śniadeckich 8, 00-956 Warszawa, Poland

2. WydziałMatematyki i Informatyki, Uniwersytet Im. Adama Mickiewicza, Collegium Mathematicum, Umultowska 87, 61-614 Poznań, Poland

3. Department of Mathematics and Cybernetics, Wrocław University of Economics, ul. Komandorska 118/12 53-345 Wrocław, Poland

4. Department of Mathematics, Hokkaido University, North 10 West 8, Kita-ku, Sapporo 060-0810, Japan

Abstract

We construct a deformed Fock space and a Brownian motion coming from Coxeter groups of type [Formula: see text]. The construction is analogous to that of the [Formula: see text]-Fock space (of type [Formula: see text]) and the [Formula: see text]-Fock space (of type [Formula: see text]).

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X17500100

Reference21 articles.

1. Noncrossing Partitions for the GroupDn

2. Non-crossing cumulants of type B

3. Lie Groups and Lie Algebras

4. On a class of free Lévy laws related to a regression problem

5. Fock space associated to Coxeter groups of type B

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