Hochschild Cohomology and Deformations of Clifford-Weyl Algebras
We give a complete study of the Clifford-Weyl algebra C(n,2k) from Bose-Fermi statistics, including Hochschild cohomology (with coefficients in itself). We show that C(n,2k) is rigid when n is even or when k ≠ 1. We find all non-trivial deformations of C(2n+1,2) and study their representations.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2009 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149177 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Hochschild Cohomology and Deformations of Clifford-Weyl Algebras / I.M. Musson, G. Pinczon, R. Ushirobira // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 28 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862689437104734208 |
|---|---|
| author | Musson, I.M. Pinczon, G. Ushirobira, R. |
| author_facet | Musson, I.M. Pinczon, G. Ushirobira, R. |
| citation_txt | Hochschild Cohomology and Deformations of Clifford-Weyl Algebras / I.M. Musson, G. Pinczon, R. Ushirobira // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 28 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We give a complete study of the Clifford-Weyl algebra C(n,2k) from Bose-Fermi statistics, including Hochschild cohomology (with coefficients in itself). We show that C(n,2k) is rigid when n is even or when k ≠ 1. We find all non-trivial deformations of C(2n+1,2) and study their representations.
|
| first_indexed | 2025-12-07T16:11:39Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149177 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:11:39Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Musson, I.M. Pinczon, G. Ushirobira, R. 2019-02-19T18:13:37Z 2019-02-19T18:13:37Z 2009 Hochschild Cohomology and Deformations of Clifford-Weyl Algebras / I.M. Musson, G. Pinczon, R. Ushirobira // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 28 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 16E40; 16G99; 16S80; 17B56; 17B10; 53D55 https://nasplib.isofts.kiev.ua/handle/123456789/149177 We give a complete study of the Clifford-Weyl algebra C(n,2k) from Bose-Fermi statistics, including Hochschild cohomology (with coefficients in itself). We show that C(n,2k) is rigid when n is even or when k ≠ 1. We find all non-trivial deformations of C(2n+1,2) and study their representations. This paper is a contribution to the Special Issue on Deformation Quantization. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Hochschild Cohomology and Deformations of Clifford-Weyl Algebras Article published earlier |
| spellingShingle | Hochschild Cohomology and Deformations of Clifford-Weyl Algebras Musson, I.M. Pinczon, G. Ushirobira, R. |
| title | Hochschild Cohomology and Deformations of Clifford-Weyl Algebras |
| title_full | Hochschild Cohomology and Deformations of Clifford-Weyl Algebras |
| title_fullStr | Hochschild Cohomology and Deformations of Clifford-Weyl Algebras |
| title_full_unstemmed | Hochschild Cohomology and Deformations of Clifford-Weyl Algebras |
| title_short | Hochschild Cohomology and Deformations of Clifford-Weyl Algebras |
| title_sort | hochschild cohomology and deformations of clifford-weyl algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149177 |
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