Matrix Bases for Star Products: a Review
We review the matrix bases for a family of noncommutative ⋆ products based on a Weyl map. These products include the Moyal product, as well as the Wick-Voros products and other translation invariant ones. We also review the derivation of Lie algebra type star products, with adapted matrix bases. We...
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| Дата: | 2014 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2014
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146614 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Matrix Bases for Star Products: a Review / F. Lizzi, P. Vitale // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 83 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146614 |
|---|---|
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dspace |
| spelling |
irk-123456789-1466142019-02-11T01:23:13Z Matrix Bases for Star Products: a Review Lizzi, F. Vitale, P. We review the matrix bases for a family of noncommutative ⋆ products based on a Weyl map. These products include the Moyal product, as well as the Wick-Voros products and other translation invariant ones. We also review the derivation of Lie algebra type star products, with adapted matrix bases. We discuss the uses of these matrix bases for field theory, fuzzy spaces and emergent gravity. 2014 Article Matrix Bases for Star Products: a Review / F. Lizzi, P. Vitale // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 83 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 58Bxx; 40C05; 46L65 DOI:10.3842/SIGMA.2014.086 http://dspace.nbuv.gov.ua/handle/123456789/146614 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 review the matrix bases for a family of noncommutative ⋆ products based on a Weyl map. These products include the Moyal product, as well as the Wick-Voros products and other translation invariant ones. We also review the derivation of Lie algebra type star products, with adapted matrix bases. We discuss the uses of these matrix bases for field theory, fuzzy spaces and emergent gravity. |
| format |
Article |
| author |
Lizzi, F. Vitale, P. |
| spellingShingle |
Lizzi, F. Vitale, P. Matrix Bases for Star Products: a Review Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Lizzi, F. Vitale, P. |
| author_sort |
Lizzi, F. |
| title |
Matrix Bases for Star Products: a Review |
| title_short |
Matrix Bases for Star Products: a Review |
| title_full |
Matrix Bases for Star Products: a Review |
| title_fullStr |
Matrix Bases for Star Products: a Review |
| title_full_unstemmed |
Matrix Bases for Star Products: a Review |
| title_sort |
matrix bases for star products: a review |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146614 |
| citation_txt |
Matrix Bases for Star Products: a Review / F. Lizzi, P. Vitale // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 83 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT lizzif matrixbasesforstarproductsareview AT vitalep matrixbasesforstarproductsareview |
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2023-05-20T17:25:13Z |
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2023-05-20T17:25:13Z |
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