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Matrix Bases for Star Products: a Review
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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Matrix Bases for Star Products: a Review
Інший ID:
2010 Mathematics Subject Classification: 58Bxx; 40C05; 46L65
DOI:10.3842/SIGMA.2014.086
DOI:10.3842/SIGMA.2014.086
Посилання:
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.
Підтримка:
This paper is a contribution to the Special Issue on Deformations of Space-Time and its Symmetries. The
full collection is available at http://www.emis.de/journals/SIGMA/space-time.html.
We were partially supported by UniNA and Compagnia di San Paolo under the grant “Programma
STAR 2013”. F. Lizzi acknowledges support by CUR Generalitat de Catalunya under
project FPA2010-20807.
Дата:
2014
Переглядів:
499
Завантажень:
270
Анотація:
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.
