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Tuesday, July 28, 2020 | History

4 edition of Harish-Chandra homomorphisms for p-adic groups found in the catalog.

Harish-Chandra homomorphisms for p-adic groups

by Roger Howe

  • 208 Want to read
  • 23 Currently reading

Published by Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society in Providence, R.I .
Written in English

    Subjects:
  • Lie groups.,
  • Representations of groups.,
  • p-adic groups.,
  • Homomorphisms (Mathematics)

  • Edition Notes

    StatementRoger Howe ; with the collaboration of Allen Moy.
    SeriesRegional conference series in mathematics,, no. 59
    ContributionsMoy, Allen, 1955-, Conference Board of the Mathematical Sciences.
    Classifications
    LC ClassificationsQA1 .R33 no. 59, QA387 .R33 no. 59
    The Physical Object
    Paginationxi, 76 p. ;
    Number of Pages76
    ID Numbers
    Open LibraryOL2537731M
    ISBN 100821807099
    LC Control Number85018649

    The topics covered include uncertainty principles for locally compact abelian groups, fundamentals of representations of p-adic groups, the Harish-Chandra-Howe local character expansion, classification of the square-integrable representations modulo cuspidal data, Dirac cohomology and Vogan's conjecture, multiplicity-free actions and Schur-Weyl. Publisher Summary. This chapter reviews finite projective groups. One of the oldest problems in finite group theory is that of finding the complex finite projective groups of a given degree n, i.e., the finite subgroups L of PGL(n, C).For small n, the finite projective groups L of degree n have been determined. For the most interesting of these, the factor group L/Z(L) of L modulo its center Z.

    case, and Harish-Chandra in the p-adic case, developed the theory of singular integral intertwining operators, leading to the theory of R-groups, due to Knapp and Stein [] in the archimedean case and Silberger [;] in the p-adic case. We describe this briefly and refer the reader to the introduction of [Goldberg ] for more details. To go further, the existence of the p-adic Harish–Chandra homomorphism (see) leads to a decomposition of O ˆ p with respect to central characters χ of U ˆ (g). The blocks O ˆ χ p are noetherian and artinian. This makes possible to prove the following main result. As with any Arens–Michael envelope there is a natural map U (g) → U ˆ Cited by: 7.

    p-adic numbers, p-adic valuations, absolute values, completions, local fields, henselian fields, extensions of valuations, ramification, higher ramification groups. Galoisian extensions, projective and inductive limits, abstract class field theory, the Herbrand quotient. This book mainly discusses the representation theory of the special linear group 8L(2, 1R), and some applications of this theory. Harish-Chandra Homomorphisms for ${\mathfrak p}$-Adic Groups E-bok av Roger Howe The basic construction presented here provides an analogue in certain cases of the Harish-Chandra homomorphism, which has.


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Harish-Chandra homomorphisms for p-adic groups by Roger Howe Download PDF EPUB FB2

ISBN: OCLC Number: Notes: On t.p. the German (Fraktur) lower case "p" is used in "p-adic" in the title. "Supported by the National Science Foundation.". Harish-Chandra Homomorphisms for ${\mathfrak p}$-Adic Groups (Cbms Regional Conference Series in Mathematics) Paperback – Decem by Roger Howe (Author) › Visit Amazon's Roger Howe Page.

Find all the books, read about the author, and more. Cited by: This book introduces a systematic new approach to the construction and analysis of semisimple \(p\)-adic groups.

The basic construction presented here provides an analogue in certain cases of the Harish-Chandra homomorphism, which has played an essential role in the theory of semisimple Lie groups.

Harish-Chandra Homomorphisms for ${\mathfrak p}$-Adic Groups About this Title. Roger Howe and Allen Moy. The Harish-Chandra Homomorphism in the Unramified Anisotropic Case American Mathematical Society Charles Street Providence, Cited by: Harish-Chandra Homomorphisms for ${\mathfrak p}$-Adic Groups (Cbms Regional Conference Series in Mathematics) 作者: Roger Howe / Allen Moy 出版社: American Mathematical Society 出版年: 定价: USD 装帧: Paperback ISBN: The Mathematical Legacy of Harish-Chandra by Harish-Chandra,available at Book Depository with free delivery worldwide.

Introduction to Harmonic Analysis on Reductive P-adic Groups: Based on lectures by Harish-Chandra at The Institute for Advanced Study, Allan G. Silberger Based on a series of lectures given by Harish-Chandra at the Institute for Advanced Study inthis book provides an introduction to the theory of harmonic analysis on.

In mathematics, a Lie group (pronounced / l iː / "Lee") is a group whose elements are organized continuously and smoothly, as opposed to discrete groups, where the elements are separated—this makes Lie groups differentiable groups are named after Norwegian mathematician Sophus Lie, who laid the foundations of the theory of continuous transformation groups.

Harish-Chandra Homomorphisms for ${\mathfrak p}$-Adic Groups (Cbms Regional Conference Series in Mathematics) by Roger Howe, Allen Moy. Classification of finite simple groups; cyclic; alternating; Lie type; sporadic; Lagrange's theorem; Sylow theorems; Hall's theorem; p-group; Elementary abelian group.

Harish-Chandra Memorial Talk G. DANIEL MOSTOW 51 Harish-Chandra Memorial Talk V. VARADARAJAN 55 An Elementary Introduction to Harish-Chandra's Work REBECCA A.

HERB 59 Stabilization of a Family of Differential Equations JAMES ARTHUR 77 Orbital Integrals of Nilpotent Orbits DAN BARBASCH 97 Representation Theory of p-adic Groups: A View from.

59 Roger Howe and Allen Moy, Harish-Chandra homomorphisms for p-adic groups, 58 H. Blaine Lawson, Jr., The theory of gauge fields in four dimensions, 57 Jerry L. Kazdan, Prescribing the curvature of a Riemannian manifold, 56 Hari Bercovici, Ciprian Foia§, and Carl Pearcy, Dual algebras with applications to invariant.

59 Roger Howe and Allen Moy, Harish-Chandra homomorphisms for p-adic groups, 58 H. Blaine Lawson, Jr., The theory of gauge fields in four dimensions, 57 Jerry L. Kazdan, Prescribing the curvature of a Riernannian manifold, 56 Hari Bercovici, Ciprian Foia§, and Carl Pearcy, Dual algebras with applications to.

59 Ri>ger Howe and Allen Moy, Harish-Chandra homomorphisms for p-adic groups, 58 fl. Blaine Lawson, Jr., The theory of gauge fields in four dimensions, 57 Jerry L.

Kazdan, Prescribing the curvature of a Riemannian manifold, 56 Hari Bercovici, Ciprian Foia§, and Carl Pearcy, Dual algebras with applications to invariant. Roger Howe has written: 'Harish-Chandra homomorphisms for p-adic groups' -- subject(s): Homomorphisms (Mathematics), Lie groups, Representations of groups, P.

R. Howe. Harish-Chandra Homomorphisms for \(\mathfrak{p}\)-adic Groups, volume 59 of CBMS Regional Conference Series in Mathematics. Published for the Conference Board of the Mathematical Sciences, Washington, DC, With the collaboration of Allen Moy.

Google ScholarAuthor: Daniel Bump. The Mathematical Legacy of Harish-Chandra: A Celebration of Representation Theory and Harmonic Analysis About this Title. Robert S. Doran, Texas Christian University, Fort Worth, TX and V. Varadarajan, University of California, Los Angeles, Los Angeles, CA, Editors.

Publication: Proceedings of Symposia in Pure Mathematics. : Harish-Chandra homomorphisms for p-adic groups, With the collaboration of A.

Moy, CBMS Regional Conference Series in Mathematics, 59, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Cited by: 1.

Representations of p-adic groups: a view from operator algebras algebras (With Paul Baum and Roger Plymen.) The purpose of these notes is to convey to a reasonably broad audience some byproducts of the authors' research into the C*-algebra K-theory of the p-adic group GL(N), which culminated in a proof of the Baum-Connes Conjecture in this case.

On a Conjecture of Ash. [Ho] R. Howe, Harish–Chandra homomorphisms for p-adic groups, in “Regional Confer- This is the first book to deal comprehensively with the cohomology of finite. [BK2] Bushnell, C.

and Kutzko, P.: Smooth representations of reductive p-adic groups: Structure theory via types, Proc. London Math. Soc. 77 (), ^ [G] Hecke algebra isomorphisms for Author: Ju-Lee Kim.Harish‐Chandra homomorphisms for p‐adic groups / Roger Howe with the collaboration of Allen Moy.

Factorization of linear operators and geometry of Banach spaces / Gilles Pisier. J contractive matrix functions, reproducing kernel Hilbert spaces and interpolation / Harry Dym.The book also includes talks given at the IAS Memorial Service in by colleagues who knew Harish-Chandra well.

Also reprinted are two articles entitled, "Some Recollections of Harish-Chandra", by A. Borel, and "Harish-Chandra's c-Function: A Mathematical Jewel", by S. Helgason.