English

The Double Fock Space of Type B

Functional Analysis 2023-06-13 v3

Abstract

In this article, we introduce the notion of a double Fock space of type B. We will show that this new construction is compatible with combinatorics of counting positive and negative inversions on a hyperoctahedral group.

Keywords

Cite

@article{arxiv.2202.13762,
  title  = {The Double Fock Space of Type B},
  author = {Marek Bożejko and Wiktor Ejsmont},
  journal= {arXiv preprint arXiv:2202.13762},
  year   = {2023}
}

Comments

Section 2 partially contained in the previous paper arXiv:1411.7997