It takes the average reader 8 hours and 26 minutes to read Unitary Representations of Groups, Duals, and Characters by Bachir Bekka
Assuming a reading speed of 250 words per minute. Learn more
Unitary representations of groups play an important role in many subjects, including number theory, geometry, probability theory, partial differential equations, and quantum mechanics. This monograph focuses on dual spaces associated to a group, which are spaces of building blocks of general unitary representations. Special attention is paid to discrete groups for which the unitary dual, the most common dual space, has proven to be not useful in general and for which other duals spaces have to be considered, such as the primitive dual, the normal quasi-dual, or spaces of characters. The book offers a detailed exposition of these alternative dual spaces and covers the basic facts about unitary representations and operator algebras needed for their study. Complete and elementary proofs are provided for most of the fundamental results that up to now have been accessible only in original papers and appear here for the first time in textbook form. A special feature of this monograph is that the theory is systematically illustrated by a family of examples of discrete groups for which the various dual spaces are discussed in great detail: infinite dihedral group, Heisenberg groups, affine groups of fields, solvable Baumslag-Solitar group, lamplighter group, and general and special linear groups. The book will appeal to graduate students who wish to learn the basics facts of an important topic and provides a useful resource for researchers from a variety of areas. The only prerequisites are a basic background in group theory, measure theory, and operator algebras.
Unitary Representations of Groups, Duals, and Characters by Bachir Bekka is 489 pages long, and a total of 126,651 words.
This makes it 165% the length of the average book. It also has 155% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 11 hours and 32 minutes to read Unitary Representations of Groups, Duals, and Characters aloud.
Unitary Representations of Groups, Duals, and Characters is suitable for students ages 12 and up.
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