Supertraces on queerified algebras

Fuente: arXiv
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Auteurs principaux: Leites, Dimitry, Shchepochkina, Irina
Format: Preprint
Publié: 2023
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author Leites, Dimitry
Shchepochkina, Irina
author_facet Leites, Dimitry
Shchepochkina, Irina
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2302_11857
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Supertraces on queerified algebras
Leites, Dimitry
Shchepochkina, Irina
Mathematical Physics
Dynamical Systems
Primary 17B20, 16W55 Secondary 81Q60, 17B70
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.
title Supertraces on queerified algebras
topic Mathematical Physics
Dynamical Systems
Primary 17B20, 16W55 Secondary 81Q60, 17B70
url https://arxiv.org/abs/2302.11857