The Double Fock Space of Type B

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 the combinatorics of counting positive and negative inversions on a hyperoctahedral group.

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2023
Main Authors: Bożejko, Marek, Ejsmont, Wiktor
Format: Article
Language:English
Published: Інститут математики НАН України 2023
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211903
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Double Fock Space of Type B. Marek Bożejko and Wiktor Ejsmont. SIGMA 19 (2023), 040, 22 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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 the combinatorics of counting positive and negative inversions on a hyperoctahedral group.
ISSN:1815-0659