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Supertraces on queerified algebras

Mathematical Physics 2024-09-16 v1 Dynamical Systems math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.2302.11857,
  title  = {Supertraces on queerified algebras},
  author = {Dimitry Leites and Irina Shchepochkina},
  journal= {arXiv preprint arXiv:2302.11857},
  year   = {2024}
}

Comments

8 pages

R2 v1 2026-06-28T08:47:39.215Z