The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129
By Colin J. Bushnell and P. C. Kutzko
()
About this ebook
This work gives a full description of a method for analyzing the admissible complex representations of the general linear group G = Gl(N,F) of a non-Archimedean local field F in terms of the structure of these representations when they are restricted to certain compact open subgroups of G. The authors define a family of representations of these compact open subgroups, which they call simple types. The first example of a simple type, the "trivial type," is the trivial character of an Iwahori subgroup of G. The irreducible representations of G containing the trivial simple type are classified by the simple modules over a classical affine Hecke algebra. Via an isomorphism of Hecke algebras, this classification is transferred to the irreducible representations of G containing a given simple type. This leads to a complete classification of the irreduc-ible smooth representations of G, including an explicit description of the supercuspidal representations as induced representations. A special feature of this work is its virtually complete reliance on algebraic methods of a ring-theoretic kind. A full and accessible account of these methods is given here.
Related to The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129
Titles in the series (100)
The Two-Valued Iterative Systems of Mathematical Logic. (AM-5), Volume 5 Rating: 0 out of 5 stars0 ratingsConvergence and Uniformity in Topology. (AM-2), Volume 2 Rating: 0 out of 5 stars0 ratingsTopics in Topology. (AM-10), Volume 10 Rating: 0 out of 5 stars0 ratingsFinite Dimensional Vector Spaces. (AM-7), Volume 7 Rating: 4 out of 5 stars4/5Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III Rating: 0 out of 5 stars0 ratingsA Theory of Cross-Spaces. (AM-26), Volume 26 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Nonlinear Oscillations (AM-29), Volume II Rating: 0 out of 5 stars0 ratingsMeromorphic Functions and Analytic Curves. (AM-12) Rating: 0 out of 5 stars0 ratingsIsoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27 Rating: 0 out of 5 stars0 ratingsConsistency of the Continuum Hypothesis. (AM-3), Volume 3 Rating: 0 out of 5 stars0 ratingsAlgebraic Theory of Numbers. (AM-1), Volume 1 Rating: 0 out of 5 stars0 ratingsProbleme General de la Stabilite du Mouvement. (AM-17), Volume 17 Rating: 0 out of 5 stars0 ratingsAn Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4 Rating: 0 out of 5 stars0 ratingsDegree of Approximation by Polynomials in the Complex Domain. (AM-9), Volume 9 Rating: 0 out of 5 stars0 ratingsContributions to Fourier Analysis. (AM-25) Rating: 0 out of 5 stars0 ratingsLectures on Differential Equations. (AM-14), Volume 14 Rating: 0 out of 5 stars0 ratingsIntroduction to Non-Linear Mechanics. (AM-11), Volume 11 Rating: 0 out of 5 stars0 ratingsLectures on the Theory of Games (AM-37) Rating: 1 out of 5 stars1/5Functional Operators (AM-22), Volume 2: The Geometry of Orthogonal Spaces. (AM-22) Rating: 0 out of 5 stars0 ratingsMetric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) Rating: 0 out of 5 stars0 ratingsThe Calculi of Lambda-Conversion (AM-6), Volume 6 Rating: 4 out of 5 stars4/5Transcendental Numbers. (AM-16) Rating: 0 out of 5 stars0 ratingsExistence Theorems in Partial Differential Equations. (AM-23), Volume 23 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Nonlinear Oscillations (AM-20), Volume I Rating: 0 out of 5 stars0 ratingsTopological Methods in the Theory of Functions of a Complex Variable. (AM-15), Volume 15 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Games (AM-28), Volume II Rating: 0 out of 5 stars0 ratingsOrder-Preserving Maps and Integration Processes. (AM-31), Volume 31 Rating: 0 out of 5 stars0 ratingsAutomata Studies. (AM-34), Volume 34 Rating: 5 out of 5 stars5/5Surface Area. (AM-35), Volume 35 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Games (AM-24), Volume I Rating: 0 out of 5 stars0 ratings
Related ebooks
Profinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67 Rating: 0 out of 5 stars0 ratingsCausal Symmetric Spaces Rating: 0 out of 5 stars0 ratingsScattering Theory, Revised Edition Rating: 0 out of 5 stars0 ratingsComplex Dynamics and Renormalization (AM-135), Volume 135 Rating: 4 out of 5 stars4/5Algebraic Groups and Number Theory Rating: 0 out of 5 stars0 ratingsThe Action Principle and Partial Differential Equations. (AM-146), Volume 146 Rating: 0 out of 5 stars0 ratingsAngular Momentum in Quantum Mechanics Rating: 0 out of 5 stars0 ratingsKnot Groups. Annals of Mathematics Studies. (AM-56), Volume 56 Rating: 0 out of 5 stars0 ratingsTopics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 Rating: 0 out of 5 stars0 ratingsThe Decomposition of Global Conformal Invariants (AM-182) Rating: 0 out of 5 stars0 ratingsDelay Differential Equations: With Applications in Population Dynamics Rating: 0 out of 5 stars0 ratingsClassical Theory of Gauge Fields Rating: 0 out of 5 stars0 ratingsGeneral Theory of C*-Algebras Rating: 0 out of 5 stars0 ratingsAutomata, Languages, and Machines Rating: 4 out of 5 stars4/5Environmental Foresight and Models: A Manifesto Rating: 0 out of 5 stars0 ratingsProblem Book in Relativity and Gravitation Rating: 4 out of 5 stars4/5Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66 Rating: 0 out of 5 stars0 ratingsOn Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68 Rating: 0 out of 5 stars0 ratingsTopology Rating: 5 out of 5 stars5/5Singular Perturbations I: Spaces and Singular Perturbations on Manifolds Without Boundary Rating: 0 out of 5 stars0 ratingsStatistical Tolerance Regions: Theory, Applications, and Computation Rating: 0 out of 5 stars0 ratingsGeneralized Feynman Amplitudes. (AM-62), Volume 62 Rating: 0 out of 5 stars0 ratingsFour Faces of Anger: Seneca, Evagrius Ponticus, Cassian, and Augustine Rating: 0 out of 5 stars0 ratingsPerspective and Projective Geometry Rating: 0 out of 5 stars0 ratingsElastic Beams and Frames Rating: 0 out of 5 stars0 ratingsSymmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications Rating: 0 out of 5 stars0 ratingsCombinatorics of Train Tracks. (AM-125), Volume 125 Rating: 0 out of 5 stars0 ratingsSeminar on the Atiyah-Singer Index Theorem. (AM-57), Volume 57 Rating: 0 out of 5 stars0 ratingsIntroduction to the Theory of Entire Functions Rating: 0 out of 5 stars0 ratings
Mathematics For You
Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5The Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Calculus Made Easy Rating: 4 out of 5 stars4/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Geometry For Dummies Rating: 5 out of 5 stars5/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Basic Math & Pre-Algebra Workbook For Dummies with Online Practice Rating: 4 out of 5 stars4/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Painless Algebra Rating: 0 out of 5 stars0 ratingsCalculus Essentials For Dummies Rating: 5 out of 5 stars5/5Flatland Rating: 4 out of 5 stars4/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5Precalculus: A Self-Teaching Guide Rating: 4 out of 5 stars4/5Mental Math: Tricks To Become A Human Calculator Rating: 5 out of 5 stars5/5Is God a Mathematician? Rating: 4 out of 5 stars4/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsIntroducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5Summary of The Black Swan: by Nassim Nicholas Taleb | Includes Analysis Rating: 5 out of 5 stars5/5Relativity: The special and the general theory Rating: 5 out of 5 stars5/5A Mind for Numbers | Summary Rating: 4 out of 5 stars4/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5
Reviews for The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129
0 ratings0 reviews