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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2023 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2023
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| 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| _version_ | 1862694804152909824 |
|---|---|
| author | Bożejko, Marek Ejsmont, Wiktor |
| author_facet | Bożejko, Marek Ejsmont, Wiktor |
| citation_txt | The Double Fock Space of Type B. Marek Bożejko and Wiktor Ejsmont. SIGMA 19 (2023), 040, 22 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2026-03-18T05:01:50Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211903 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-18T05:01:50Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Bożejko, Marek Ejsmont, Wiktor 2026-01-16T10:53:55Z 2023 The Double Fock Space of Type B. Marek Bożejko and Wiktor Ejsmont. SIGMA 19 (2023), 040, 22 pages 1815-0659 2020 Mathematics Subject Classification: 6L53; 47N30; 46L54 arXiv:2202.13762 https://nasplib.isofts.kiev.ua/handle/123456789/211903 https://doi.org/10.3842/SIGMA.2023.040 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Double Fock Space of Type B Article published earlier |
| spellingShingle | The Double Fock Space of Type B Bożejko, Marek Ejsmont, Wiktor |
| title | The Double Fock Space of Type B |
| title_full | The Double Fock Space of Type B |
| title_fullStr | The Double Fock Space of Type B |
| title_full_unstemmed | The Double Fock Space of Type B |
| title_short | The Double Fock Space of Type B |
| title_sort | double fock space of type b |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211903 |
| work_keys_str_mv | AT bozejkomarek thedoublefockspaceoftypeb AT ejsmontwiktor thedoublefockspaceoftypeb AT bozejkomarek doublefockspaceoftypeb AT ejsmontwiktor doublefockspaceoftypeb |