Supertrace and superquadratic Lie structure on the Weyl algebra, and applications to formal inverse Weyl transform

DOI10.1007/s11005-005-0029-3zbMath1101.53060arXivmath/0507092OpenAlexW2164000131WikidataQ115381933 ScholiaQ115381933MaRDI QIDQ2433128

Rosane Ushirobira, Georges Pinczon

Publication date: 27 October 2006

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507092

zbMATH Keywords

deformation quantizationWeyl algebrarenormalizationsupersymmetrysupertraceformal inverse Weyl transform

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for Lie algebras and superalgebras (17B05) Infinite-dimensional Lie (super)algebras (17B65) Deformation quantization, star products (53D55) Simple, semisimple, reductive (super)algebras (17B20) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items

Formal higher-spin theories and Kontsevich-Shoikhet-Tsygan formality, Characteristic cohomology and observables in higher spin gravity, Hochschild cohomology of the Weyl algebra and Vasiliev's equations, Higher-spin Chern-Simons theories in odd dimensions, On two theorems about symplectic reflection algebras.

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