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  • 1
    Online Resource
    Online Resource
    Boston :Academic Press,
    UID:
    almahu_9947367265702882
    Format: 1 online resource (439 p.)
    ISBN: 1-281-76767-0 , 9786611767679 , 0-08-087451-7
    Series Statement: Pure and applied mathematics ; 132
    Content: Real Productive Groups I
    Note: Description based upon print version of record. , Front Cover; Real Reductive Groups I; Copyright Page; Content; Preface; Introduction; Chapter 0. Background Material; Introduction; 0.1. Invariant measures on homogeneous spaces; 0.2. The structure of reductive Lie algebras; 0.3. The structure of compact Lie groups; 0.4. The universal enveloping algebra of a Lie algebra; 0.5. Some basic representation theory; 0.6. Modules over the universal enveloping algebra; Chapter 1. Elementary Representation Theory; Introduction; 1.1. General properties of representations; 1.2. Schur's lemma; 1.3. Square integrable representations , 3.1. The Chevalley restriction theorem3.2. The Harish-Chandra isomorphism of the center of the universal enveloping algebra; 3.3. (g, K)-modules; 3.4. A basic theorem of Harish-Chandra; 3.5. The subquotient theorem; 3.6. The spherical principal series; 3.7. A Lemma of Osborne; 3.8. The subrepresentation theorem; 3.9. Notes and further results; 3.A. Appendices to Chapter 3; 3.A.1. Some associative algebra; 3.A.2. A Lemma of Harish-Chandra; Chapter 4. The Asymptotic Behavior of Matrix Coefficients; Introduction; 4.1. The Jacquet module of an admissible (g, K)-module , 4.2. Three applications of the Jacquet module4.3. Asymptotic behavior of matrix coefficients; 4.4. Asymptotic expansions of matrix coefficients; 4.5. Harish-Chandra's Ξ-function; 4.6. Notes and further results; 4.A. Appendices to Chapter 4; 4.A.1. Asymptotic expansions; 4.A.2. Some inequalities; Chapter 5. The Langlands Classification; Introduction; 5.1. Tempered (g, K)-modules; 5.2. The principal series; 5.3. The intertwining integrals; 5.4. The Langlands classification; 5.5. Some applications of the classification; 5.6. SL(2, R); 5.7. SL(2, C); 5.8. Notes and further results , 5.A. Appendices to Chapter 55.A.1. A Lemma of Langlands; 5.A.2. An a priori estimate; 5.A.3. Square integrability and the polar decomposition; Chapter 6. A Construction of the Fundamental Series; Introduction; 6.1. Relative Lie algebra cohomology; 6.2. A construction of ( f, K)-modules; 6.3. The Zuckerman functors; 6.4. Some vanishing theorems; 6.5. Blattner type formulas; 6.6. Irreducibility; 6.7. Unitarizability; 6.8. Temperedness and square integrability; 6.9. The case of disconnected G; 6.10. Notes and further results; 6.A. Appendices to Chapter 6; 6.A.1. Some homological algebra , 6.A.2. Partition functions , English
    Additional Edition: ISBN 0-12-732960-9
    Language: English
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  • 2
    Online Resource
    Online Resource
    Boston : Academic Press
    UID:
    gbv_1655655434
    Format: Online Ressource (xix, 412 pages)
    Edition: Online-Ausg.
    ISBN: 9780127329604
    Series Statement: Pure and applied mathematics v. 132, pt. 1
    Content: Elementary representation theory -- Real reductive group -- Basic theory of (g, K)-modules -- Asymptotic behavior of matrix coefficients -- Langlands classification -- Construction of the fundamental series --Cusp forms on G -- Character theory -- Unitary representations and (g, K)-Cohomology.
    Content: Real Productive Groups I
    Note: Includes bibliographical references and index. - Print version record , Elementary representation theoryReal reductive group -- Basic theory of (g, K)-modules -- Asymptotic behavior of matrix coefficients -- Langlands classification -- Construction of the fundamental series --Cusp forms on G -- Character theory -- Unitary representations and (g, K)-Cohomology. , English
    Additional Edition: ISBN 1281767670
    Additional Edition: ISBN 9781281767677
    Additional Edition: ISBN 9786611767679
    Additional Edition: ISBN 6611767673
    Additional Edition: ISBN 0080874517
    Additional Edition: ISBN 9780080874517
    Additional Edition: ISBN 9780127329604
    Additional Edition: ISBN 0127329609
    Additional Edition: ISBN 0127329609
    Additional Edition: ISBN 9780127329604
    Additional Edition: Erscheint auch als Druck-Ausgabe Wallach, Nolan R Real reductive groups I Boston : Academic Press, ©1988
    Language: English
    Keywords: Electronic books ; Electronic books
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  • 3
    Book
    Book
    Boston [u.a.] : Acad. Pr.
    Show associated volumes
    UID:
    gbv_280614101
    Format: XIX, 412 S
    ISBN: 0127329609
    Series Statement: Pure and applied mathematics 132,1
    In: 1
    Language: Undetermined
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  • 4
    Book
    Book
    Boston [u.a.] : Acad. Press
    Show associated volumes
    UID:
    gbv_084806877
    Format: XIX, 412 S
    ISBN: 0127329609
    Series Statement: Pure and applied mathematics 132
    In: 1
    Language: Undetermined
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  • 5
    Book
    Book
    Boston u.a. : Acad. Press
    Show associated volumes
    UID:
    b3kat_BV024185890
    Format: XIX, 412 S.
    ISBN: 0127329609
    Series Statement: Pure and applied mathematics 132,1
    In: 1
    Language: English
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  • 6
    UID:
    almahu_BV002401464
    Format: XIX, 412 S.
    ISBN: 0-12-732960-9
    Series Statement: Pure and applied mathematics 132
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Reduktive Gruppe ; Lie-Gruppe
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  • 7
    UID:
    almafu_BV002401464
    Format: XIX, 412 S.
    ISBN: 0-12-732960-9
    Series Statement: Pure and applied mathematics 132
    In: Real reductive groups.
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Reduktive Gruppe ; Lie-Gruppe
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  • 8
    Book
    Book
    Boston u.a. : Acad. Press
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    UID:
    b3kat_BV000789049
    ISBN: 0127329609
    Series Statement: Pure and applied mathematics ...
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Reduktive Gruppe ; Lie-Gruppe
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  • 9
    Book
    Book
    Boston u.a. :Acad. Press.
    Show associated volumes
    UID:
    almafu_BV000789049
    ISBN: 0-12-732960-9
    Series Statement: Pure and applied mathematics ...
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Reduktive Gruppe ; Lie-Gruppe
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  • 10
    Book
    Book
    Boston u.a. :Acad. Press.
    Show associated volumes
    UID:
    almahu_BV000789049
    ISBN: 0-12-732960-9
    Series Statement: Pure and applied mathematics ...
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Reduktive Gruppe ; Lie-Gruppe
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