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Thursday, May 7, 2020 | History

6 edition of Discrete subgroups of semisimple Lie groups found in the catalog.

Discrete subgroups of semisimple Lie groups

by G. A. Margulis

  • 170 Want to read
  • 11 Currently reading

Published by Springer-Verlag in Berlin, New York .
Written in English

    Subjects:
  • Semisimple Lie groups.,
  • Lattice theory.

  • Edition Notes

    Includes bibliographical references (p. [372]-385) and index.

    StatementG.A. Margulis.
    SeriesErgebnisse der Mathematik und ihrer Grenzgebiete ;, 3. Folge, Bd. 17
    Classifications
    LC ClassificationsQA387 .M36 1990
    The Physical Object
    Paginationix, 388 p. :
    Number of Pages388
    ID Numbers
    Open LibraryOL1864692M
    ISBN 10354012179X, 038712179X
    LC Control Number90022638

      For these reasons it is important to study the subgroup structure of the almost simple groups, and in particular their maximal subgroups. , Gregori A. Margulis, Discrete Subgroups of Semisimple Lie Groups, Springer-Verlag, p A subgroup H of an algebraic group G is called algebraic if H is an algebraic subvariety of G. Osaka J. Math. Volume 3, Number 2 (), Vanishing theorems for cohomology groups associated to discrete subgroups of semisimple Lie groupsCited by:

    Publisher Summary. This chapter discusses irreducibility of discrete series representations for semi-simple symmetric spaces. It explains the term translation principle that refers to the idea of studying infinite dimensional representations of reductive Lie algebras by investigating their tensor products with the rich, complicated, and well-understood family of finite-dimensional. Abstract. In the representation theory of a compact group K, a major role is played by the Peter-Weyl theorem, which asserts that the regular representation L 2 (K) decomposes as a countable direct sum of irreducibles with finite compact connected Lie groups this becomes much more concrete: the irreducibles are explicitly known, their characters are given by the famous Hermann Cited by: Semisimple Groups with Property (T). Relationship Between the Structure of Closed Subgroups and Property (T) of Normal Subgroups. Factor Groups of Discrete Subgroups. b-metrics, Vitali's Covering Theorem and the Density Point Theorem. Invariant Algebras of Measurable Sets. Amenable Factor Groups of Lattices Lying in Direct Products.

    discrete series for semisimple lie groups i variant under the Weyl group of (g, ~), there exists (see the proof of Lemma 24 of [2 (1)]) a unique iuvariant differential operator D on 6~ such thatFile Size: 2MB. Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share . Margulis wrote in the preface of his book Discrete subgroups of semisimple Lie groups that "A number of important topics have been omitted. The most significant of these is the theory of Kleinian groups and Thurston's theory of 3-dimensional manifolds: these two theories can be united under the common title of Theory of discrete subgroups of $\\operatorname{SL}_2(\\mathbb C)$." In this article Author: Hee Oh.


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Discrete subgroups of semisimple Lie groups by G. A. Margulis Download PDF EPUB FB2

SyntaxTextGen not activatedIntroduction to Lie Pdf and Pdf Algebras by Alexander Kirillov, Jr. - SUNY at Stony Brook The book covers the basic contemporary theory of Lie groups and Lie algebras.

This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. Written in an informal style.

( views).A Geometric Construction of the Discrete Series for Semisimple Lie Groups 3 (k) local integrability of the Harish-Chandra characters. Of these (i) follows from the fact that H appears as a subrepresentation of an induced representation (see the simple proof by Casselman [9]).

The algebraicFile Size: 3MB.You can also read Zimmer's book Ergodic theory ebook semisimple groups or Raghunathan's book "Discrete subgroups of Lie groups" (both are still reasonably gentle); the hardest one to read will be the most important one, by Margulis "Discrete Subgroups of Semisimple Lie Groups" mentioned by Bill Cook in .