|
ИСТИНА |
Войти в систему Регистрация |
Интеллектуальная Система Тематического Исследования НАукометрических данных |
||
Restriction of representations of $GL(n+1,C)$ to $GL(n,C)$ and action of the Lie overalgebraстатья
- Автор: Neretin Yu A.
- Журнал: Algebras and Representation Theory
- Год издания: 2018
- Издательство: Springer Nature
- Местоположение издательства: Switzerland
- DOI: 10.1007/s10468-018-9774-8
- Аннотация: Consider a restriction of an irreducible finite dimensional holomorphic representation of $GL(n+1, C)$ to the subgroup $GL(n, C)$. We write explicitly formulas for generators of the Lie algebra $gl(n + 1)$ in the direct sum of representations of $GL(n, C)$. Nontrivial generators act as differential-difference operators, the differential part has order $n − 1$, the difference part acts on the space of parameters (highest weights) of representations. We also formulate a conjecture about unitary principal series of $GL(n, C)$.
- Добавил в систему: Неретин Юрий Александрович