ISBN: 9780691032566 - the admissible dual of gl (annals of mathematics studies, band 129) (3 Ergebnisse)

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  • Sprache: Englisch

    Verlag: Princeton University Press, 1994

    0691032564 / 9780691032566

    Serie: Buch 161 von 202 - Annals of Mathematics Studies

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    Anbieter: Labyrinth Books, Princeton, NJ, USALabyrinth Books

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  • Sprache: Englisch

    Verlag: Princeton, N.J. : Princeton University Press, 1993

    0691032564 / 9780691032566

    Serie: Buch 161 von 202 - Annals of Mathematics Studies

    • Hardcover
    • Erstausgabe

    Anbieter: MW Books Ltd., Galway, IrlandMW Books Ltd.

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    First Edition. Fine paperback copy. Particularly and surprisingly well-preserved; tight, bright, clean and especially sharp-cornered. Physical description; ix, 313 pages : illustrations. Notes; Includes bibliographical (pages 307-310) references and index. Contents; Comments for the reader -- 1. Exactness and intertwining. (1.1). Hereditary orders. (1.2). Hereditary orders relative to subfields. (1.3). Tame corestriction. (1.4). Adjoint maps. (1.5). Simple strata and intertwining. (1.6). The simple intersection property -- 2. The structure of simple strata. (2.1). Equivalence of pure strata. (2.2). Refinements of simple strata. (2.3). Split refinements. (2.4). Approximation of simple strata. (2.5). Nonsplit fundamental strata. (2.6). Intertwining and conjugacy -- 3. The simple characters of a simple stratum. (3.1). The rings of a simple stratum. (3.2). Characters and commutators. (3.3). Intertwining. (3.4). A nondegeneracy property. (3.5). Intertwining and conjugacy. (3.6). Change of rings -- 4. Interlude with Hecke algebras. (4.1). Induction and intertwining. (4.2). Scalar Hecke algebras. (4.3). Unitary structures -- 5. Simple types. (5.1). Heisenberg representations. (5.2). Extending to level zero. (5.3). A bound on intertwining. (5.4). Affine Hecke algebras and Weyl groups. (5.5). Intertwining and Weyl groups. (5.6). The Hecke algebra of a simple type. (5.7). Intertwining and conjugacy for simple types -- 6. Maximal types. (6.1). Extension by a central character. (6.2). Supercuspidal representations -- 7. Typical representations. (7.1). Some Iwahori decompositions. (7.2). Iwahori factorisation of a simple type. (7.3). Main theorems. (7.4). Proof of the principal lemma. (7.5). The strong intertwining property. (7.6). Jacquet functors and Hecke algebra maps. (7.7). Discrete series and formal degree -- 8. Atypical representations. (8.1). Split types. (8.2). Jacquet module of a split type I. (8.3). Jacquet module of a split type II. (8.4). The main theorems. (8.5). Classification -- Index of notation and terminology. Subjects; Representations of groups. Nonstandard mathematical analysis. MATHEMATICS Algebra Linear. 1 Kg. …

  • Sprache: Englisch

    Verlag: Princeton, N.J. : Princeton University Press, 1993

    0691032564 / 9780691032566

    Serie: Buch 161 von 202 - Annals of Mathematics Studies

    • Hardcover
    • Erstausgabe

    Anbieter: MW Books, New York, NY, USAMW Books

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    First Edition. Fine paperback copy. Particularly and surprisingly well-preserved; tight, bright, clean and especially sharp-cornered. Physical description; ix, 313 pages : illustrations. Notes; Includes bibliographical (pages 307-310) references and index. Contents; Comments for the reader -- 1. Exactness and intertwining. (1.1). Hereditary orders. (1.2). Hereditary orders relative to subfields. (1.3). Tame corestriction. (1.4). Adjoint maps. (1.5). Simple strata and intertwining. (1.6). The simple intersection property -- 2. The structure of simple strata. (2.1). Equivalence of pure strata. (2.2). Refinements of simple strata. (2.3). Split refinements. (2.4). Approximation of simple strata. (2.5). Nonsplit fundamental strata. (2.6). Intertwining and conjugacy -- 3. The simple characters of a simple stratum. (3.1). The rings of a simple stratum. (3.2). Characters and commutators. (3.3). Intertwining. (3.4). A nondegeneracy property. (3.5). Intertwining and conjugacy. (3.6). Change of rings -- 4. Interlude with Hecke algebras. (4.1). Induction and intertwining. (4.2). Scalar Hecke algebras. (4.3). Unitary structures -- 5. Simple types. (5.1). Heisenberg representations. (5.2). Extending to level zero. (5.3). A bound on intertwining. (5.4). Affine Hecke algebras and Weyl groups. (5.5). Intertwining and Weyl groups. (5.6). The Hecke algebra of a simple type. (5.7). Intertwining and conjugacy for simple types -- 6. Maximal types. (6.1). Extension by a central character. (6.2). Supercuspidal representations -- 7. Typical representations. (7.1). Some Iwahori decompositions. (7.2). Iwahori factorisation of a simple type. (7.3). Main theorems. (7.4). Proof of the principal lemma. (7.5). The strong intertwining property. (7.6). Jacquet functors and Hecke algebra maps. (7.7). Discrete series and formal degree -- 8. Atypical representations. (8.1). Split types. (8.2). Jacquet module of a split type I. (8.3). Jacquet module of a split type II. (8.4). The main theorems. (8.5). Classification -- Index of notation and terminology. Subjects; Representations of groups. Nonstandard mathematical analysis. MATHEMATICS Algebra Linear. 1 Kg. …