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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| Дата: | 2009 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149177 |
| Теги: |
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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| id |
irk-123456789-149177 |
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dspace |
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irk-123456789-1491772019-02-20T01:26:42Z Hochschild Cohomology and Deformations of Clifford-Weyl Algebras Musson, I.M. Pinczon, G. Ushirobira, R. 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. 2009 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/149177 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Musson, I.M. Pinczon, G. Ushirobira, R. |
| spellingShingle |
Musson, I.M. Pinczon, G. Ushirobira, R. Hochschild Cohomology and Deformations of Clifford-Weyl Algebras Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Musson, I.M. Pinczon, G. Ushirobira, R. |
| author_sort |
Musson, I.M. |
| title |
Hochschild Cohomology and Deformations of Clifford-Weyl Algebras |
| title_short |
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_sort |
hochschild cohomology and deformations of clifford-weyl algebras |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149177 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT mussonim hochschildcohomologyanddeformationsofcliffordweylalgebras AT pinczong hochschildcohomologyanddeformationsofcliffordweylalgebras AT ushirobirar hochschildcohomologyanddeformationsofcliffordweylalgebras |
| first_indexed |
2023-05-20T17:32:31Z |
| last_indexed |
2023-05-20T17:32:31Z |
| _version_ |
1796153528244240384 |