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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
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.
Received: March 28, 2022; in final form May 25, 2023; Published online June 12, 2023
Citation:
Marek Bożejko, Wiktor Ejsmont, “The Double Fock Space of Type B”, SIGMA, 19 (2023), 040, 22 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1935 https://www.mathnet.ru/eng/sigma/v19/p40
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Abstract page: | 71 | Full-text PDF : | 21 | References: | 18 |
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