Algebraic groups and discontinuous subgroups.

  • 426 Pages
  • 0.16 MB
  • 787 Downloads
  • English
by
American Mathematical Society , Providence
Group t
Statement[Armand Borel and George D. Mostow, editors]
SeriesProceedings of symposia in pure mathematics,, v. 9
ContributionsBorel, Armand, ed., Mostow, George D. ed., University of Colorado, American Mathematical Society.
Classifications
LC ClassificationsQA171 .S915 1965
The Physical Object
Paginationvii, 426 p.
ID Numbers
Open LibraryOL5988308M
LC Control Number66018581
OCLC/WorldCa791905

Algebraic Groups and Discontinuous Subgroups. Proceedings of Symposia in Pure Mathematics. Volume IX [Armand Borel & George D. Mostow, editors] on *FREE* shipping on qualifying offers.

Algebraic Groups and Discontinuous Subgroups. Proceedings of Symposia in Pure Mathematics. Volume IXAuthor: editors Armand Borel & George D.

Mostow. Algebraic groups and Discontinuous Subgroups About this Title. Armand Borel and George D. Mostow, Editors. Publication: Proceedings of Symposia in Pure Mathematics Publication Year Volume 9 ISBNs: (print); (online) DOI: Title: Algebraic Groups and Discontinuous Subgroups Author: Editors: Armand Borel and George D.

Mostow Created Date: 1/28/ AM. Algebraic Groups and Discontinuous Subgroups. Author(s): A. Borel and G. Mostow Total books are available. And still more to come If you couldn't download the book.

Algebraic Groups and Discontinuous Subgroupsby Armand Borel, George D. Mostow. Publisher: American Mathematical Society ISBN/ASIN: ISBN Number of pages: Description: The book is concentrated around five major themes: linear algebraic groups and arithmetic groups, adeles and arithmetic properties of algebraic groups, automorphic functions.

Algebraic Groups and Discontinuous Subgroups | A. Borel, G. Mostow | download | B–OK. Download books for free. Find books. / Mathematics Books / Algebra Books / Groups Theory Books / Algebraic Groups and Discontinuous Subgroups.

Algebraic Groups and Discontinuous Subgroups. Algebraic Groups and Discontinuous Subgroups. Currently this section contains no detailed description for the page, will update this page soon. Author(s): NA. GROUP THEORY 3 each hi is some gfi or g¡1 fi, is a y e (equal to the empty product, or to gfig¡1 if you prefer) is in it.

Also, from the definition it is clear that it is closed under multiplication. Finally, since (h1 ¢¢¢ht)¡1 = h¡1t ¢¢¢h ¡1 1 it is also closed under taking inverses.

⁄ We call the subgroup of G generated by fgfi: fi 2 Ig. Bienvenue à l'Institut Fourier | UMR - Laboratoire de. / Mathematics Books / Algebra Books / Groups Theory Books / Algebraic Groups and Arithmetic Groups. Algebraic Groups and Arithmetic Groups. Algebraic Groups and Arithmetic Groups Algebraic Groups and Discontinuous Subgroups.

Currently this section contains no detailed description for the page, will update this page soon. Author(s): NA. This book is an outgrowth of the twelfth Summer Mathematical Institute of the American Mathematical Society, which was devoted to Algebraic Groups and Discontinuous Subgroups.

( views) Algebraic Groups and Discontinuous Subgroups by Armand Borel, George D. Mostow - American Mathematical Society, The book covers linear algebraic groups and arithmetic groups, adeles and arithmetic properties of algebraic groups, automorphic functions and spectral decomposition of L2-spaces, vector valued cohomology and deformation of discrete subgroups, etc.

Algebraic groups and discontinuous subgroups. Providence, R.I.: American Mathematical Society, (OCoLC) Material Type: Conference publication, Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Armand Borel; George D Mostow; University of Colorado (Boulder campus); American Mathematical Society.

This book is an outgrowth of the twelfth Summer Mathematical Institute of the American Mathematical Society, which was devoted to Algebraic Groups and Discontinuous Subgroups. The Institute was held at the University of Colorado in Boulder from July S to August 6,and was financed by the National Science Foundation and the Office of Naval Research.

This book is the first comprehensive introduction to the theory of algebraic group schemes over fields that includes the structure theory of semisimple algebraic groups, and is written in the language of modern algebraic geometry.

The first eight chapters study general algebraic group schemes over a field and culminate in a proof of the Barsotti–Chevalley theorem, realizing every algebraic group as an extension of an abelian variety by an affine group.

ISBN: OCLC Number: Notes: Title from home page screen as viewed on Apr. 27, "Proceedings of the Symposium in Pure Mathematics of the American Mathematical Society held at the University of Colorado, Boulder, Colorado, July 5 - August 6, "--Page 2 of "Frontmatter.".

Stanford Libraries' official online search tool for books, media, journals, databases, government documents and more. Algebraic groups and discontinuous subgroups [electronic resource] Responsibility [Armand Borel and George D. Mostow, editors]. Imprint. Volumes in this series consist of articles originally published in books and journals in Russia or Japan.

Recent volumes include articles offering timely research by world-class mathematicians. This series includes Advances in Soviet Mathematics titles published since Electronic Backfile Collection. ( Volumes) List: \$13, Flows and dynamical systems on homogeneous spaces have found a wide range of applications, and of course number theory without discrete groups is unthinkable.

This book, written by a master of the. 2 MCM, MARCH The variety of tori, unirationality of reductive groups 1. Homogeneous spaces and Galois cohomology Let k be a base field assumed to be of characteristic zero.

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Let ks/k be a separable closure of k and denote by Γk = Gal(ks/k) the absolute Galois group of k. Let G/k be a linear algebraic group. Let X be a (non empty) k-variety equipped with a right G-action.

This note will concern properly discontinuous actions of subgroups in real algebraic groups on contractible manifolds. Let (r, X, p) be such an action, where p: TT + Diff(X) is a homomorph- ism. We assume that p extends to a smooth action of a real algebraic group G containing n.

Description Algebraic groups and discontinuous subgroups. PDF

R. Garibaldi, Isotropic trialitarian algebraic groups, J. Algebra (), – Article MATH MathSciNet Google Scholar [5]. This book offers a systematic treatment--the first in book form--of the development and use of cohomological induction to construct unitary representations.

George Mackey introduced induction in as a real analysis construction for passing from a unitary representation of a closed subgroup of a locally compact group to a unitary representation of the whole group.

François Bruhat p-adic groups Algebraic Groups and Discontinuous Subgroups, Proc. Sympos. Pure Math vol 9 (Amer. Math. Soc., Providence, R. I.) p Google Scholar. If He: G are distinct algebraic subgroups of G-L then either dim H.

Higher-Dimensional Categories: an illustrated guide book by Eugenia Cheng and Aaron Lauda ; Abstract and Concrete Categories by J. Adamek, H. Herrlich, G. Strecker ; Higher Operads, Higher Categories by Tom Leinster ; Lie Algebras.

Algebraic Groups and Discontinuous Subgroups by Armand Borel and George D. Mostow. This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time. Algebraic Groups and Number Theory provides the first systematic exposition in mathematical literature of the junction of group theory, algebraic geometry, and number theory.

The exposition of the topic is built on a synthesis of methods from algebraic geometry, number theory. Discover Book Depository's huge selection of Armand Borel books online. Free delivery worldwide on over 20 million titles.

We use cookies to give you the best possible experience. Algebraic Groups and Discontinuous Subgroups. Pure Mathematics Symposium. 01 Jun Paperback. unavailable.

Try AbeBooks. Seminar on Transformation Groups. CONTENTS Introduction § 1.

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Arithmetic groups § 2. Adèle groups § 3. Tamagawa numbers § 4. Approximations in algebraic groups § 5. Class numbers and class groups of algebraic. This article is a survey of conjectures and results on reductive algebraic groups having good reduction at a suitable set of discrete valuations of the base field.

Until recently, this subject has received relatively little attention, but now it appears to be developing into one of the central topics in the emerging arithmetic theory of (linear) algebraic groups over higher-dimensional fields.

Algebraic groups are groups defined by polynomials. Those that we shall be concerned with in this book can all be realized as groups of matrices. For example, the group of matrices of determinant 1is an algebraic group, as is the orthogonal group of a symmetric bilinear form.

The classification of algebraic groups and the elucidation of their.Torrent Contents. 20 Mathematics Books Collection PDF Set 1. Books. KB; Applied Statistics and Probability for 1, KB; Ash Robert B - Algebra 2, KB; Borel A Mostow G - Algebraic Groups and Discontinuous 28 MB; Fudenberg D The Theory Of Learning In 2, KB.

The norm. preserving group of ^ is then the group of ^-rational points of a simply connected simple algebraic group G with index As in Example 1, we calculate the dim K^ to be K^ has rank 2, and it follows K^ is of type G^.A = A(c) is a graph automorphism and Theorem implies F = KjK^ w Z(G)/(Z(G) n Go) w Z(G) w Z.