Representations of an associative countably generated*-algebra by unbounded operators must be analyzed not only in connection with representations of canonical variables in quantum theory but also in different questions of the theory of representations of finite-dimensional and some infinite-dimensional Lie groups (in a consideration of the corresponding Lie algebras). In all such cases our theorem on the decomposition of unbounded representations into irreducible (factor) representations can be used.
Предметные области Scopus
- Статистическая и нелинейная физика
- Математическая физика