E-Book, Englisch, Band 118, 319 Seiten
Vogan Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118
1. Auflage 2016
ISBN: 978-1-4008-8238-0
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 118, 319 Seiten
Reihe: Annals of Mathematics Studies
ISBN: 978-1-4008-8238-0
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark
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Frontmatter, pg. i
CONTENTS, pg. vii
ACKNOWLEDGEMENTS, pg. ix
INTRODUCTION, pg. 1
Chapter 1. COMPACT GROUPS AND THE BOREL-WEIL THEOREM, pg. 19
Chapter 2. HARISH-CHANDRA MODULES, pg. 50
Chapter 3. PARABOLIC INDUCTION, pg. 62
Chapter 4. STEIN COMPLEMENTARY SERIES AND THE UNITARY DUAL OF GL(n,C), pg. 82
Chapter 5. COHOMOLOGICAL PARABOLIC INDUCTION: ANALYTIC THEORY, pg. 105
Chapter 6. COHOMOLOGICAL PARABOLIC INDUCTION: ALGEBRAIC THEORY, pg. 123
Interlude. THE IDEA OF UNIPOTENT REPRESENTATIONS, pg. 159
Chapter 7. FINITE GROUPS AND UNIPOTENT REPRESENTATIONS, pg. 164
Chapter 8. LANGLANDS’ PRINCIPLE OF FUNCTORIALITY AND UNIPOTENT REPRESENTATIONS, pg. 185
Chapter 9. PRIMITIVE IDEALS AND UNIPOTENT REPRESENTATIONS, pg. 211
Chapter 10. THE ORBIT METHOD AND UNIPOTENT REPRESENTATIONS, pg. 235
Chapter 11. E-MULTIPLICITIES AND UNIPOTENT REPRESENTATIONS, pg. 258
Chapter 12. ON THE DEFINITION OF UNIPOTENT REPRESENTATIONS, pg. 284
Chapter 13. EXHAUSTION, pg. 290
REFERENCES, pg. 302
Backmatter, pg. 309
