The admissible dual of GL(N) via compact open subgroups / by Colin J. Bushnell and Philip C. Kutzko
1993, First Edition. Princeton, N.J. : Princeton University Press. Fine paperback copy. Particularly and surprisingly well-preserved; tight, bright, clean and especially sharp-cornered. Item #432779
ISBN: 0691032564
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.
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