000 03075nam a2200397Ii 4500
001 ocn817953676
003 OCoLC
005 20240726105311.0
008 121114s2013 nyu ob 001 0 eng d
040 _aNT
_beng
_erda
_cNT
020 _a9781139839723
_q((electronic)l(electronic)ctronic)l((electronic)l(electronic)ctronic)ctronic bk.
050 0 4 _aQA387
_b.I538 2013
049 _aNTA
100 1 _aKaniuth, Eberhard.
_e1
245 1 0 _aInduced representations of locally compact groupsEberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia.
260 _aNew York :
_bCambridge University Press,
_c(c)2013.
300 _a1 online resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _adata file
_2rda
490 1 _aCambridge tracts in mathematics ;
_v197
520 0 _a"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"--
_cProvided by publisher.
504 _a2
505 0 0 _aMachine generated contents note: 1. Basics; 2. Induced representations; 3. The imprimitivity theorem; 4. Mackey analysis; 5. Topologies on dual spaces; 6. Topological Frobenius properties; 7. Further applications.
530 _a2
_ub
650 0 _aLocally compact groups.
650 0 _aTopological spaces.
650 0 _aRepresentations of groups.
655 1 _aElectronic Books.
700 1 _aTaylor, Keith F.,
_d1950-
856 4 0 _uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=498339&site=eds-live&custid=s3260518
_zClick to access digital title | log in using your CIU ID number and my.ciu.edu password
942 _cOB
_D
_eEB
_hQA
_m2013
_QOL
_R
_x
_8NFIC
_2LOC
994 _a02
_bNT
999 _c95728
_d95728
902 _a1
_bCynthia Snell
_c1
_dCynthia Snell