Last edited by Gorn
Thursday, August 6, 2020 | History

9 edition of Discrete subgroups of Lie groups found in the catalog.

# Discrete subgroups of Lie groups

## by M. S. Raghunathan

Written in English

Subjects:
• Lie groups.,
• Automorphic functions.,
• Matrix groups.

• Edition Notes

Classifications The Physical Object Statement [by] M. S. Raghunathan. Series Ergebnisse der Mathematik und ihrer Grenzgebiete,, Bd. 68 LC Classifications QA387 .R33 Pagination viii, 226 p. Number of Pages 226 Open Library OL5761818M ISBN 10 0387057498 LC Control Number 71189389

Get this from a library! Lectures on discrete subgroups of Lie groups. [George D Mostow; Gopal Prasad]. representations will ﬁnd that he also understands much of the basic theory of Lie groups. Realizing a Lie group as an algebraic group is the ﬁrst step towards understanding the discrete subgroups of the Lie group. Every reductive algebraic group is the quotient of a product of a torus and a semisimple group by a ﬁnite subgroup.

History. The first such theorem was proven by Atle Selberg for co-compact discrete subgroups of the unimodular groups (). Shortly afterwards a similar statement was proven by Eugenio Calabi in the setting of fundamental groups of compact hyperbolic manifolds. Finally, the theorem was extended to all co-compact subgroups of semisimple Lie groups by André Weil. It is known, from the works of is, etc. that lattices in semi-simple real (algebraic) groups are "often" arithmetic subgroups, as long as the split rank is high enough. Here by a lattice in.

Lectures on Discrete Subgroups of Lie Groups by G.D. Mostow - Tata Institute of Fundamental Research Contents: Preliminaries; Complexification of a real Linear Lie Group; Intrinsic characterization of K* and E; R-regular elements; Discrete Subgroups; Some Ergodic Properties of Discrete Subgroups; Real Forms of Semi-simple Algebraic Groups; etc. A discrete group is the same thing as a zero-dimensional Lie group (uncountable discrete groups are not second-countable so authors who require Lie groups to satisfy this axiom do not regard these groups as Lie groups).

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### Discrete subgroups of Lie groups by M. S. Raghunathan Download PDF EPUB FB2

This book originated from a course of lectures given at Yale University during and a more elaborate one, the next year, at the Tata Institute of Fundamental Research. Its aim is to present a detailed ac­ count of some of the recent work on the geometric aspects of the theory of.

Additional Physical Format: Online version: Raghunathan, M.S. Discrete subgroups of Lie groups. Berlin, New York, Springer-Verlag, (OCoLC) This book, written by a master of the subject, is primarily devoted to discrete subgroups of finite covolume in semi-simple Lie groups.

Discrete Subgroups of Semisimple Lie Groups | G.A. Margulis | download | B–OK. Download books for free. Find books. Lie Groups and Lie Algebras II: Discrete Subgroups of Lie Groups and Cohomologies of Lie Groups and Lie Algebras (Encyclopaedia of Mathematical Sciences.

Lectures on Discrete Subgroups of Lie Groups by G.D. Mostow. Publisher: Tata Institute of Fundamental Research Number of pages: Description: Contents: Preliminaries; Complexification of a real Linear Lie Group; Intrinsic characterization of K* and E; R-regular elements; Discrete Subgroups; Some Ergodic Properties of Discrete Subgroups; Real Forms of Semi-simple Algebraic Groups.

Discrete Subgroups of Semisimple Lie Groups (Ergebnisse der Mathematik und ihrer Grenzgebiete. Folge / A Series of Modern Surveys in Mathematics (17)) st Edition by Gregori A. Margulis 1/5(1). Abstract.

Margulis wrote in the preface of his book Discrete subgroups of semisimple Lie groups [30]: \A number of important topics have been omitted. The most signi cant 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 Theory of discrete.

Every discrete central subgroup of a connected Lie group is finitely generated. This result was alluded to without comment in a book I was reading (Lie Group Actions in Complex Analysis by D. Akhiezer Proposition on page 38). (The cover of the book is here) Compactifications of Symmetric Spaces (joint with Yves Guivarc'h and John C.

Taylor), Click here; C Books in preparation ; Great mathematics books of the twentieth century: a personal journey. Discrete subgroups of Lie groups and discrete transformation groups. C Books. This book originated from a course of lectures given at Yale University during and a more elaborate one, the next year, at the Tata Institute of Fundamental Research.

Its aim is to present a detailed ac­ count of some of the recent work on the geometric aspects of the theory of discrete subgroups of Lie : Hardcover.

Discrete Subgroups of Lie Groups by Madabusi S. Raghunathan,available at Book Depository with free delivery worldwide.5/5(1). The book by Borel and Wallach is a classic treatment of the use of cohomology in representation theory, particularly in the setting of automorphic forms and discrete subgroups.

The authors begin with general material, covering Lie algebra cohomology, as well as continuous and differentiable cohomology. We give a method for constructing dense and free subgroups in real Lie groups. In particular we show that any dense subgroup of a connected semisimple real Lie group G contains a free group on two generators which is still dense in G, and that any finitely generated dense subgroup in a connected non-solvable Lie group H contains a dense free subgroup of rank ⩽2dimH.

Discrete Subgroups of Lie Groups Ergebnisse der Mathematik und ihrer Grenzgebiete, ISSN Volume 68 of Neue Folge], [Ergebnisse der Mathematik und ihrer Grenzgebiete Volume 68 of Results and Problems in Cell Differentiation: Author: M.

Raghunathan: Publisher: Springer-Verlag, Original from: the University of California. Discrete subgroups of Lie groups. [Madabusi Santanam Raghunathan] Home. WorldCat Home About WorldCat Help.

Search. Search for Library Items Search for Lists Search for Book: All Authors / Contributors: Madabusi Santanam Raghunathan.

Find more information about: ISBN: The first part of this book on Discrete Subgroups of Lie Groups is written by E.B. Vinberg, V.V. Gorbatsevich, and O.V. Shvartsman.

Various types of discrete subgroups of Lie groups arise in the theory of functions of complex variables, arithmetic, geometry, and crystallography. Enter your mobile number or email address below and we'll send you a link to download the free Kindle App.

Then you can start reading Kindle books on your smartphone, tablet, or computer. Raghunathan, M.Discrete subgroups of Lie groups [by] M.

Raghunathan Springer-Verlag Berlin, New York Wikipedia Citation Please see Wikipedia's template documentation for further citation fields that may be required. Discrete subgroups of Lie groups and applications to moduli: Papers presented at the Bombay Colloquium,by Baily [et al.] (Tata Institute of Fundamental Research.

Studies in mathematics ; 7) Paperback – January 1, by Jr. Baily, W.L. (Editor)Format: Paperback. This book, written by a master of the subject, is primarily devoted to discrete subgroups of finite covolume in semi-simple Lie groups.

The author not only proves results in .A series of arithmetically definable discrete subgroups of classical Lie groups — groups of units of quadratic forms with rational coefficients, groups of units of simple algebras over $\mathbf{Q}$, groups of integral symplectic matrices — were studied by C.L.

Siegel in the s.Discrete Subgroups of Lie Groups and Applications to Moduli: Papers Presented at the Bombay Colloquium, Walter L. Baily, Walter L. Bailey Tata Institute of Fundamental Research, Bombay, - Automorphic functions - pages.