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. Rieffel for the study of the Yang-Mills problem.Cutting across traditional separations between fields of specialization, the book addresses a broad audience of graduate students and researchers.
Get Operators and Representation Theory by at the best price and quality guranteed only at Werezi Africa largest book ecommerce store. The book was published by and it has pages. Enjoy Shopping Best Offers & Deals on books Online from Werezi - Receive at your doorstep - Fast Delivery - Secure mode of Payment
Digital Rights Management (DRM)
The publisher has supplied this book in encrypted form, which means that you need to install free software in order to unlock and read it.
Required software
To read this ebook on a mobile device (phone or tablet) you'll need to install one of these free apps:
To download and read this eBook on a PC or Mac:
-
Adobe Digital Editions
(This is a free app specially developed for eBooks. It's not the same as Adobe Reader, which you probably already have on your computer.)
