The Resource Cohomological Induction and Unitary Representations (PMS-45), Anthony W. Knapp, David A. Vogan

Cohomological Induction and Unitary Representations (PMS-45), Anthony W. Knapp, David A. Vogan

Label
Cohomological Induction and Unitary Representations (PMS-45)
Title
Cohomological Induction and Unitary Representations (PMS-45)
Statement of responsibility
Anthony W. Knapp, David A. Vogan
Creator
Contributor
Author
Provider
Subject
Language
  • eng
  • eng
Summary
This book offers a systematic treatment--the first in book form--of the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a real analysis construction for passing from a unitary representation of a closed subgroup of a locally compact group to a unitary representation of the whole group. Later a parallel construction using complex analysis and its associated co-homology theories grew up as a result of work by Borel, Weil, Harish-Chandra, Bott, Langlands, Kostant, and Schmid. Cohomological induction, introduced by Zuckerman, is an algebraic analog that is technically more manageable than the complex-analysis construction and leads to a large repertory of irreducible unitary representations of reductive Lie groups. The book, which is accessible to students beyond the first year of graduate school, will interest mathematicians and physicists who want to learn about and take advantage of the algebraic side of the representation theory of Lie groups. Cohomological Induction and Unitary Representations develops the necessary background in representation theory and includes an introductory chapter of motivation, a thorough treatment of the "translation principle," and four appendices on algebra and analysis
Cataloging source
DE-B1597
http://library.link/vocab/creatorName
Knapp, Anthony W
Government publication
other
LC call number
QA387
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Vogan, David A
  • De Gruyter
Series statement
Princeton Mathematical Series
Series volume
45
http://library.link/vocab/subjectName
  • Harmonic analysis
  • Homology theory
  • Representations of groups
  • Semisimple Lie groups
Target audience
specialized
Label
Cohomological Induction and Unitary Representations (PMS-45), Anthony W. Knapp, David A. Vogan
Instantiates
Publication
Copyright
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • CHAPTER III. DUALITY THEOREM
  • CHAPTER IV. REDUCTIVE PAIRS
  • CHAPTER V. COHOMOLOGICAL INDUCTION
  • CHAPTER VI. SIGNATURE THEOREM
  • CHAPTER VII. TRANSLATION FUNCTORS
  • CHAPTER VIII. IRREDUCIBILITY THEOREM
  • CHAPTER IX. UNITARIZABILITY THEOREM
  • CHAPTER X. MINIMAL K TYPES
  • CHAPTER XI. TRANSFER THEOREM
  • CHAPTER XII. EPILOG: WEAKLY UNIPOTENT REPRESENTATIONS
  • Frontmatter
  • APPENDIX A. MISCELLANEOUS ALGEBRA
  • APPENDIX B. DISTRIBUTIONS ON MANIFOLDS
  • APPENDIX C. ELEMENTARY HOMOLOGICAL ALGEBRA
  • APPENDIX D. SPECTRAL SEQUENCES
  • NOTES
  • REFERENCES
  • INDEX OF NOTATION
  • INDEX
  • CONTENTS
  • PREFACE
  • PREREQUISITES BY CHAPTER
  • STANDARD NOTATION
  • INTRODUCTION
  • CHAPTER I. HECKE ALGEBRAS
  • CHAPTER II. THE CATEGORY C(g, K)
Extent
1 online resource
Form of item
online
Isbn
9781400883936
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1515/9781400883936
Specific material designation
remote
System control number
  • (DE-B1597)474328
  • (OCoLC)979954592
  • (OCoLC)990741420
  • (DE-B1597)9781400883936
Label
Cohomological Induction and Unitary Representations (PMS-45), Anthony W. Knapp, David A. Vogan
Publication
Copyright
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • CHAPTER III. DUALITY THEOREM
  • CHAPTER IV. REDUCTIVE PAIRS
  • CHAPTER V. COHOMOLOGICAL INDUCTION
  • CHAPTER VI. SIGNATURE THEOREM
  • CHAPTER VII. TRANSLATION FUNCTORS
  • CHAPTER VIII. IRREDUCIBILITY THEOREM
  • CHAPTER IX. UNITARIZABILITY THEOREM
  • CHAPTER X. MINIMAL K TYPES
  • CHAPTER XI. TRANSFER THEOREM
  • CHAPTER XII. EPILOG: WEAKLY UNIPOTENT REPRESENTATIONS
  • Frontmatter
  • APPENDIX A. MISCELLANEOUS ALGEBRA
  • APPENDIX B. DISTRIBUTIONS ON MANIFOLDS
  • APPENDIX C. ELEMENTARY HOMOLOGICAL ALGEBRA
  • APPENDIX D. SPECTRAL SEQUENCES
  • NOTES
  • REFERENCES
  • INDEX OF NOTATION
  • INDEX
  • CONTENTS
  • PREFACE
  • PREREQUISITES BY CHAPTER
  • STANDARD NOTATION
  • INTRODUCTION
  • CHAPTER I. HECKE ALGEBRAS
  • CHAPTER II. THE CATEGORY C(g, K)
Extent
1 online resource
Form of item
online
Isbn
9781400883936
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1515/9781400883936
Specific material designation
remote
System control number
  • (DE-B1597)474328
  • (OCoLC)979954592
  • (OCoLC)990741420
  • (DE-B1597)9781400883936

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