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Representation theory of groups and algebras / [electronic resource] Jeffrey Adams ... [et al.].

Contributor(s): Adams, JeffreyMaterial type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 145.Publication details: Providence, R.I. : American Mathematical Society, c1993Description: 1 online resource (x, 491 p. : ill.)ISBN: 9780821877364 (online)Subject(s): Representations of groups | Representations of algebrasAdditional physical formats: Representation theory of groups and algebras /DDC classification: 512/.2 LOC classification: QA176 | .R47 1993Online resources: Contents | Contents

Contents:

The orbit method. I. Geometric quantization / Aleksandr Aleksandrovich Kirillov -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216179 The orbit method. II. Infinite-dimensional Lie groups and Lie algebras / Aleksandr Aleksandrovich Kirillov -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216180 Quantized differential forms in noncommutative topology and geometry / Joachim Cuntz -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216181 Novikov's conjecture on higher signatures: the operator $K$-theory approach / Gennadi Kasparov -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216182 ${\rm II}_1$-factors of free groups and random matrices / Dan Voiculescu -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216183 A simple definition of transfer factors for unramified groups / Thomas C. Hales -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216184 Models and periods for automorphic forms on ${\rm GL}_n$ / Michael J. Heumos -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216185 The admissible dual via restriction to open compact subgroups / Lawrence Morris -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216186 Asymptotic behaviour of supercuspidal characters / Fiona Murnaghan -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216187 Multiplicities in the Plancherel decomposition for a semisimple symmetric space / Erik van den Ban and Henrik Schlichtkrull -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216188 ${\rm O}(n)$-spherical functions on Heisenberg groups / Chal Benson, Joe Jenkins and Gail Ratcliff -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216189 Orbits, multiplicities and differential operators / Fr�ed�eric Bien -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216190 A simple approach to $D_\lambda $-modules / Mogens Flensted-Jensen -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216191 Theta series and construction of automorphic forms / Jian-Shu Li -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216192 An application of infinite-dimensional Lie theory to semisimple Lie groups / Bong H. Lian and Gregg J. Zuckerman -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216193 On the existence of homomorphisms between scalar generalized Verma modules / Hisayosi Matumoto -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216194 Unitary representations on the Shilov boundary of a symmetric tube domain / Siddhartha Sahi -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216195 Characters, fixed points and Osborne's conjecture / W. Schmid and K. Vilonen -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216196 The local Langlands conjecture / David A. Vogan, Jr. -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216197 Representation theory of infinite-dimensional unitary groups / Robert P. Boyer -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216198 $C^*$-algebras and applications / Marius D�ad�arlat -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216199 Are amenable $C^*$-algebras classifiable / George A. Elliott -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/22 Spectra for group actions / Elliot C. Gootman -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216201 Higher McKean-Singer index formulae and noncommutative geometry / Victor Nistor -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216202 Binary shifts on the hyperfinite ${\rm II}_1$ factor / Robert T. Powers and Geoffrey L. Price -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216203 Compact quantum groups associated with toral subgroups / Marc A. Rieffel -- http://www.ams.org/conm/145/ http://dx.doi.org/10.1090/conm/145/1216204

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"Contains proceedings from activities ... during the years 1989-1992"--Pref.

Includes bibliographical references.

The orbit method. I. Geometric quantization / Aleksandr Aleksandrovich Kirillov -- The orbit method. II. Infinite-dimensional Lie groups and Lie algebras / Aleksandr Aleksandrovich Kirillov -- Quantized differential forms in noncommutative topology and geometry / Joachim Cuntz -- Novikov's conjecture on higher signatures: the operator $K$-theory approach / Gennadi Kasparov -- ${\rm II}_1$-factors of free groups and random matrices / Dan Voiculescu -- A simple definition of transfer factors for unramified groups / Thomas C. Hales -- Models and periods for automorphic forms on ${\rm GL}_n$ / Michael J. Heumos -- The admissible dual via restriction to open compact subgroups / Lawrence Morris -- Asymptotic behaviour of supercuspidal characters / Fiona Murnaghan -- Multiplicities in the Plancherel decomposition for a semisimple symmetric space / Erik van den Ban and Henrik Schlichtkrull -- ${\rm O}(n)$-spherical functions on Heisenberg groups / Chal Benson, Joe Jenkins and Gail Ratcliff -- Orbits, multiplicities and differential operators / Fr�ed�eric Bien -- A simple approach to $D_\lambda $-modules / Mogens Flensted-Jensen -- Theta series and construction of automorphic forms / Jian-Shu Li -- An application of infinite-dimensional Lie theory to semisimple Lie groups / Bong H. Lian and Gregg J. Zuckerman -- On the existence of homomorphisms between scalar generalized Verma modules / Hisayosi Matumoto -- Unitary representations on the Shilov boundary of a symmetric tube domain / Siddhartha Sahi -- Characters, fixed points and Osborne's conjecture / W. Schmid and K. Vilonen -- The local Langlands conjecture / David A. Vogan, Jr. -- Representation theory of infinite-dimensional unitary groups / Robert P. Boyer -- $C^*$-algebras and applications / Marius D�ad�arlat -- Are amenable $C^*$-algebras classifiable / George A. Elliott -- Spectra for group actions / Elliot C. Gootman -- Higher McKean-Singer index formulae and noncommutative geometry / Victor Nistor -- Binary shifts on the hyperfinite ${\rm II}_1$ factor / Robert T. Powers and Geoffrey L. Price -- Compact quantum groups associated with toral subgroups / Marc A. Rieffel --