|
ИСТИНА |
Войти в систему Регистрация |
Интеллектуальная Система Тематического Исследования НАукометрических данных |
||
Infinite symmetric group, pseudomanifolds, and combinatorial cobordism-like structuresстатья
- Авторы: Gaifullin Alexander A., Neretin Yury A.
- Журнал: Journal of Topology and Analysis
- Год издания: 2017
- DOI: 10.1142/S179352531850022X
- Аннотация: We consider a category $B$ whose morphisms are nn-dimensional pseudomanifolds equipped with certain additional structures (coloring and labeling of some cells), multiplication of morphisms is similar to a concatenation of cobordisms. On the other hand, we consider the product $G$ of $(n+1)$ copies of infinite symmetric group. We construct a correspondence between the sets of morphisms of $B$ and double coset spaces of GG with respect to certain subgroups. We show that unitary representations of $G$ produce functors from the category of $G$ to the category of Hilbert spaces and bounded linear operators. http://www.worldscientific.com/doi/abs/10.1142/S179352531850022X
- Добавил в систему: Неретин Юрий Александрович