|
ИСТИНА |
Войти в систему Регистрация |
ИСТИНА ЦЭМИ РАН |
||
The argument shift method in universal enveloping algebra Ugldстатья
- Авторы: Икэда Я., Шарыгин Г.И.
- Журнал: ArXiv e-prints
- Номер: math.RT:2307.15952
- Год издания: 2023
- Номер статьи: 2307.15952
- Аннотация: We prove the conjecture that allows one extend the argument shifting procedure from symmetric algebra S𝔤𝔩d of the Lie algebra 𝔤𝔩d to the universal enveloping algebra U𝔤𝔩d. Namely, it turns out that the iterated quasi-derivations of the central elements in U𝔤𝔩d commute with each other. Here quasi-derivation is a linear operator on U𝔤𝔩d, constructed by Gurevich, Pyatov and Saponov. This allows one better understand the structure of \textit{argument shift algebras} (or \textit{Mishchenko-Fomenko algebras}) in the universal enveloping algebra of 𝔤𝔩d.
- Добавил в систему: Шарыгин Георгий Игорьевич