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Jorgensen E.T. — Operators and representation theory (1988)
Jorgensen E.T. — Operators and representation theory (1988)

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Название: Operators and representation theory (1988)

Автор: Jorgensen E.T.

Аннотация:

Historically, operator theory and representation theory both originated with the advent of quantum mechanics. The interplay between the subjects has been and still is active in a variety of areas. This volume focuses on representations of the universal enveloping algebra, covariant representations in general, and infinite-dimensional Lie algebras in particular. It also provides new applications of recent results on integrability of finite-dimensional Lie algebras. As a central theme, it is shown that a number of recent developments in operator algebras may be handled in a particularly elegant manner by the use of Lie algebras, extensions, and projective representations. In several cases, this Lie algebraic approach to questions in mathematical physics and C * -algebra theory is new; for example, the Lie algebraic treatment of the spectral theory of curved magnetic field Hamiltonians, the treatment of irrational rotation type algebras, and the Virasoro algebra. Also examined are C * -algebraic methods used (in non-traditional ways) in the study of representations of infinite-dimensional Lie algebras and their extensions, and the methods developed by A. Connes and M.A.


Язык: en

Статус предметного указателя: Неизвестно

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Год издания: 1987

Количество страниц: 345

Добавлена в каталог: 03.09.2015

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