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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Bibliographische Detailangaben
Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2023
Hauptverfasser: Bożejko, Marek, Ejsmont, Wiktor
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2023
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/211903
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:The Double Fock Space of Type B. Marek Bożejko and Wiktor Ejsmont. SIGMA 19 (2023), 040, 22 pages

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
Beschreibung
Zusammenfassung: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