Supertraces on Queerified Algebras

被引：0
作者：
Leites D. [1 ]
Shchepochkina I. [2 ]
机构：
[1] Department of Mathematics, Stockholm University, Roslagsv. 101, Stockholm
[2] Independent University of Moscow, B. Vlasievsky per., d. 11, Moscow
来源：
Arnold Mathematical Journal | 2024年 / 10卷 / 3期
关键词：
16W55; 17B70; Primary; 17B20; Queerification; Secondary; 81Q60; Simple Lie superalgebra; Supertrace; Trace;
D O I：
10.1007/s40598-023-00232-7
中图分类号：
学科分类号：
摘要：
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 (this is one of several open problems and conjectures offered). © Institute for Mathematical Sciences (IMS), Stony Brook University, NY 2023.
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页码：309 / 321
页数：12
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