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Symmetry, Integrability and Geometry: Methods and Applications, 2023, Volume 19, 040, 22 pp.
DOI: https://doi.org/10.3842/SIGMA.2023.040 (Mi sigma1935) 		 
The Double Fock Space of Type B

Marek Bożejkoa, Wiktor Ejsmontb

a Institute of Mathematics, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
b Department of Telecommunications and Teleinformatics, Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
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DOI: https://doi.org/10.3842/SIGMA.2023.040
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: Fock space, Coxeter arcsine distribution, Coxeter groups of type B, orthogonal polynomials.
Funding agency Grant number
Narodowe Centrum Nauki NCN 2016/21/B/ST1/00628
2018/29/B/HS4/01420
M. Bożejko is supported by Narodowe Centrum Nauki, grant NCN 2016/21/B/ST1/00628. W. Ejsmont was supported by the Narodowe Centrum Nauki, grant No 2018/29/B/HS4/01420.
Received: March 28, 2022; in final form May 25, 2023; Published online June 12, 2023
Document Type: Article
MSC: 6L53, 47N30, 46L54
Language: English
Citation: Marek Bożejko, Wiktor Ejsmont, “The Double Fock Space of Type B”, SIGMA, 19 (2023), 040, 22 pp.
Citation in format AMSBIB
\Bibitem{BozEjs23}
\by Marek~Bo{\.z}ejko, Wiktor~Ejsmont
\paper The Double Fock Space of Type B
\jour SIGMA
\yr 2023
\vol 19
\papernumber 040
\totalpages 22
\mathnet{http://mi.mathnet.ru/sigma1935}
\crossref{https://doi.org/10.3842/SIGMA.2023.040}
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