English

Noncommutative probability of type D

Functional Analysis 2017-09-20 v2

Abstract

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 qq-Fock space (of type A) and the (α,q)(\alpha,q)-Fock space (of type B).

Cite

@article{arxiv.1609.01049,
  title  = {Noncommutative probability of type D},
  author = {Marek Bożejko and Wiktor Ejsmont and Takahiro Hasebe},
  journal= {arXiv preprint arXiv:1609.01049},
  year   = {2017}
}

Comments

25 pages, 8 figures, major revision, following comments by a referee

R2 v1 2026-06-22T15:39:49.315Z