عنوان

Induced representations of locally compact groups /

شابک

052176226X (hardback)

شابک

9780521762267 (hardback)

شماره

dltt

عنوان اصلي

Induced representations of locally compact groups /

نام عام مواد

[Book]

نام نخستين پديدآور

Eberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia

نام خاص و کميت اثر

xiii, 343 pages ;

ابعاد

24 cm

عنوان فروست

Cambridge tracts in mathematics ;

مشخصه جلد

197

متن يادداشت

Includes bibliographical references (pages 333-339) and index

متن يادداشت

Basics -- Induced representations -- The imprimitivity theorem -- Mackey analysis -- Topologies on dual spaces -- Topological Frobenius properties -- Further applications

بدون عنوان

0

متن يادداشت

"Locally compact groups arise in many diverse areas of mathematics, the physical sciences, and engineering and the presence of the group is usually felt through unitary representations of the group. This observation underlies the importance of understanding such representations and how they may be constructed, combined, or decomposed. Of particular importance are the irreducible unitary representations. In the middle of the last century, G.W. Mackey initiated a program to develop a systematic method for identifying all the irreducible unitary representations of a given locally compact group G. We denote the set of all unitary equivalence classes of irreducible unitary representations of G by G. Mackey's methods are only effective when G has certain restrictive structural characteristics; nevertheless, time has shown that many of the groups that arise in important problems are appropriate for Mackey's approach. The program Mackey initiated received contributions from many researchers with some of the most substantial advances made by R.J. Blattner and J.M.G. Fell. Fell'swork is particularly important in studying Gas a topological space. At the core of this program is the inducing construction, which is a method of building a unitary representation of a group from a representation of a subgroup"--

موضوع مستند نشده

Locally compact groups

موضوع مستند نشده

Representations of groups

موضوع مستند نشده

Topological spaces

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Kaniuth, Eberhard

مستند نام اشخاص تاييد نشده

Taylor, Keith F.,1950-

تاريخ عمليات

20141128192512.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y