Supertraces on queerified algebras

We describe supertraces on ``queerifications'' (see arxiv:2203.06917) of the algebras of matrices of ``complex size'', algebras of observables of Calogero-Moser model, Vasiliev higher spin algebras, and (super)algebras of pseudo-differential operators. In the latter case, the sup...

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Bibliographic Details
Published in:arXiv.org 2023-02
Main Authors: Leites, Dimitry, Shchepochkina, Irina
Format: Article
Language:English
Subjects:
Algebra
Differential equations
Euler-Lagrange equation
Operators (mathematics)
Online Access:Get full text
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Summary:We describe supertraces on ``queerifications'' (see arxiv:2203.06917) of the algebras of matrices of ``complex size'', algebras of observables of Calogero-Moser model, Vasiliev higher spin algebras, and (super)algebras of pseudo-differential operators. In the latter case, the supertraces establish complete integrability of the analogs of Euler equations to be written.
ISSN:2331-8422
DOI:10.48550/arxiv.2302.11857