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Thursday, May 7, 2020 | History

5 edition of Admissible invariant distributions on reductive p-adic groups found in the catalog.

Admissible invariant distributions on reductive p-adic groups

by Harish-Chandra.

  • 308 Want to read
  • 12 Currently reading

Published by American Mathematical Society in Providence, R.I .
Written in English

    Subjects:
  • p-adic groups.,
  • Distribution (Probability theory)

  • Edition Notes

    Includes bibliographical references (p. 91-94) and index.

    StatementHarish-Chandra ; notes by Stephen DeBacker and Paul J. Sally, Jr.
    SeriesUniversity lecture series,, v. 16, University lecture series (Providence, R.I.) ;, 16.
    ContributionsDeBacker, Stephen, 1968-, Sally, Paul.
    Classifications
    LC ClassificationsQA174.2 .H37 1999
    The Physical Object
    Paginationxiv, 97 p. ;
    Number of Pages97
    ID Numbers
    Open LibraryOL40438M
    ISBN 100821820257
    LC Control Number99031012

    Follow Harish-Chandra and explore their bibliography from greggdev.com's Harish-Chandra Author Page. Advanced. Home; Journals. Books. Conferences; News; Order. General Information; Journal Prices; Book Prices/OrderCited by: 4.

    Hello, I think a good first step is to learn the theory of admissible representations of p-adic groups and for this Godement's notes on Jacquet-Langlands theory and then Casselman's unpublished book on p-adic groups (available from his website) are good starting points. Distributions on / spaces, / groups, and / sheave s 6 §2. Representations of/ groups 14 This paper is a survey of the theory of representations of reductive ^p adic groups by the example of the group GL(n, F) entations of ίΡ adic groups was the book by Jacquet and Langlands Automorphic Forms on GL(2) (see [23]) published in

    Abstract: Let $F$ be locally compact field with residue characteristic $p$, and $\mathbf{G}$ a connected reductive $F$-group. Let $\mathcal{U}$ be a pro-$p$ Iwahori Cited by: 3. Abstract: Let F be a locally compact non-archimedean field, p its residue characteristic, and G a connected reductive group over F. Let C an algebraically closed field of characteristic p. We give a complete classification of irreducible admissible C-representations of G = G(F), in terms of supercuspidal C-representations of the Levi subgroups of G, and parabolic greggdev.com by:


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Admissible invariant distributions on reductive p-adic groups by Harish-Chandra. Download PDF EPUB FB2

Jul 20,  · Harish-Chandra presented these lectures on admissible invariant distributions for \(p\)-adic groups at the Institute for Advanced Study in the early s. He published a short sketch of this material as his famous “Queen's Notes”.

Get this from a library. Admissible invariant distributions on reductive p-adic groups. [Harish-Chandra.; Stephen DeBacker; Paul J Sally, Jr.] -- "Harish-Chandra presented these lectures on admissible invariant distributions for p-adic groups at the Institute for Advanced Study in the early s.

He published a short sketch of this material. Harish-Chandra presented these lectures on admissible invariant distributions for p-adic groups at the Institute for Advanced Study in the early s.

He published a short sketch of this material as his famous "Queen's Notes". This book, which was prepared and edited by DeBacker and Sally, presents a faithful rendering of Harish-Chandra's original lecture notes.

This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The digit and digit formats both greggdev.com by: Get this from a library.

Admissible invariant distributions on reductive p-adic groups. [Harish-Chandra; Stephen DeBacker; Paul J Sally, Jr.] -- Harish-Chandra presented these lectures on admissible invariant distributions for p-adic groups at the Institute for Advanced Study in the early s.

He published a short sketch of this material as. The main purpose of Harish-Chandra's lectures was to show that the character of an irreducible admissible representation of a connected reductive p-adic group G is represented by a locally summable function on G.

A key ingredient in this proof is the study of the Fourier transforms of distributions on \mathfrak g, the Lie algebra of G. Building on recent work of Ardakov and Wadsley, we prove Schur's lemma for absolutely irreducible admissible p-adic Banach space (respectively locally analytic) representations of p-adic Lie groups.

Booktopia has Admissible Invariant Distributions on Reductive P-ADIC Groups, University Lecture Series by Chandra Harish. Buy a discounted Paperback of Admissible Invariant Distributions on Reductive P-ADIC Groups online from Australia's leading online bookstore. Let k denote a complete nonarchimedean local field with finite residue field.

Let G be the group of k-rational points of a connected reductive linear Cited by: 16 Harish-Chandra, Admissible invariant distributions on reductive p-adic groups (with notes by Stephen DeBacker and Paul J. Sally, Jr.), 15 Andrew Mathas, Iwahori-Hecke algebras and Schur algebras of the symmetric group, 14 Lars Kadison, New examples of Probenius extensions, STRUCTURE AND REPRESENTATION THEORY OF p-ADIC REDUCTIVE GROUPS NOTES TAKEN BY PAK-HIN LEE Abstract.

These are notes I am taking for Shrenik Shah’s ongoing course on p-adic reduc-tive groups o ered at Columbia University in Fall (MATH GR Topics in. [HC78] Harish-Chandra Admissible invariant distributions on reductive p-adic groups., Lie Theories and their Applications, Queens Papers in Pure and Appl.

Math., Queens University, Kingston. In mathematics, Harish-Chandra's regularity theorem, introduced by Harish-Chandra (), states that every invariant eigendistribution on a semisimple Lie group, and in particular every character of an irreducible unitary representation on a Hilbert space, is given by a locally integrable greggdev.com-Chandra (, ) proved a similar theorem for semisimple p-adic groups.

INTRODUCTION TO THE THEORY OF ADMISSIBLE REPRESENTATIONS OF p-ADIC REDUCTIVE GROUPS W. CASSELMAN Draft: 1 May Preface This draft of Casselman’s notes was worked over by the S´eminaire Paul Sally in. Invariant Harmonic Analysis on the Schwartz Space of a Reductive p Admissible invariant distributions on reductive p-adic groups, Queen’s Papers in Pure and MathSciNet zbMATH CrossRef Google Scholar [7d] Harish-Chandra, The Plancherel formula for reductive p-adic groups, Collected Papers, Vol.

IV, Springer-Verlag, Berlin-Heidelberg Cited by: Admissible representations of p-adic groups admit more algebraic description through the action of the Hecke algebra of locally constant functions on G. Deep studies of admissible representations of p-adic reductive groups were undertaken by Casselman and by Bernstein and Zelevinsky in the s.

Abstract. By the relative trace formula approach of Jacquet–Rallis, we prove the global Gan–Gross–Prasad conjecture for unitary groups under some Cited by: characters of the irreducible representations of reductive groups over p-adic elds are not yet well understood.

In this course, we study some basic results in the theory of admissible representations of reductive p-adic groups. These results play important roles in applications to auto-morphic forms and harmonic analysis.

This chapter reviews the characters of reductive p-adic greggdev.com motivation for the results discussed by the author comes from the Lefschetz principle, which says that whatever is true for real groups should also be true for p-adic greggdev.com G be a compact, connected, real semisimple Lie group and g, its Li greggdev.com a Cartan subalgebra h and define Fourier transforms on g and greggdev.com by: Harish-Chandra, Admissible Invariant Distributions on Reductive p-Adic Groups.

University Lecture Series, vol. 16 (American Mathematical Society, Providence, RI, ). Preface and notes by Stephen DeBacker and Paul J. Sally Jr Google ScholarCited by: 3. A p-adic primer: from basics to open problems, Graduate Student Recruitment Weekend, University of Michigan, Ann Arbor, MI, March Invariant Distributions Supported on Compact Elements, Joint Meetings, Special Session on Harmonic Analysis and Representations of Reductive p-adic Groups, San Francisco, CA, January, Sally Jr.P.J.: free download.

Ebooks library. On-line books store on Z-Library | B–OK. Download books for free. Find books.Introduction to admissible representations of p­adic groups Bill Casselman University of British Columbia [email protected] work of Harish­Chandra on representations of real reductive groups, and is the basis for harmonic analysis This choice of invariant integral is by no means canonical, and in other contexts other choices are.