9 edition of **Adeles and algebraic groups** found in the catalog.

- 96 Want to read
- 22 Currently reading

Published
**1982**
by Birkhäuser in Boston
.

Written in English

- Forms, Quadratic.,
- Linear algebraic groups.,
- Adeles.

**Edition Notes**

Statement | A. Weil. |

Series | Progress in mathematics ;, v. 23, Progress in mathematics (Boston, Mass.) ;, v. 23. |

Classifications | |
---|---|

LC Classifications | QA243 .W44 1982 |

The Physical Object | |

Pagination | 126 p. ; |

Number of Pages | 126 |

ID Numbers | |

Open Library | OL3492896M |

ISBN 10 | 3764330929 |

LC Control Number | 82012767 |

thereby giving representations of the group on the homology groups of the space. If there is torsion in the homology these representations require something other than ordinary character theory to be understood. This book is written for students who are studying nite group representation theory beyond the level of a rst course in abstract Size: 1MB. Abstract The current article intends to introduce the reader to the concept of ideles and adeles and to describe some of their applications in modern number theory. These objects take important place in the methods of algebraic number theory and also in the study of zeta functions over num-ber ﬁelds.

Full text access 9. Normal subgroup structure of groups of rational points of algebraic groups Pages Download PDF. Algebraic number theory involves using techniques from (mostly commutative) algebra and nite group theory to gain a deeper understanding of the arithmetic of number elds and related objects (e.g., functions elds, elliptic curves, etc.). The main objects that we study in this book .

Algebraic Groups The theory of group schemes of ﬁnite type over a ﬁeld. J.S. Milne Version Decem This is a rough preliminary version of the book published by CUP in , The final version is substantially rewritten, and the numbering has changed. An algebraic group is called linear if it is isomorphic to an algebraic subgroup of a general linear group. An algebraic group is linear if and only if its algebraic variety is affine. These two classes of algebraic groups have a trivial intersection: If an algebraic group is both an Abelian variety and a linear group, then it is the identity.

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Adeles and Algebraic Groups (Progress in Mathematics) Softcover reprint of the original 1st ed. Edition by A. Weil (Author)Cited by: About this book. This volume contains the original lecture notes presented by A. Weil in which the concept of adeles was first introduced, in conjunction with various aspects of C.L.

Siegel’s work on quadratic forms. These notes have been supplemented by an extended bibliography, and by Takashi Ono’s brief survey of subsequent research. Try the new Google Books. Check out the new look Adeles and algebraic groups book enjoy easier access to your favorite features Adeles and algebraic groups: lectures absolutely convergent adele affine space algebra variety algebraic group automorphism canonical central division algebra central simple algebra character characteristic function classical groups.

Adeles and Algebraic Groups Andre Weil This volume contains the original lecture notes presented by A. Weil in which the concept of adeles was first introduced, in conjunction with various aspects of C.L. Siegel’s work on quadratic forms. Adeles and Algebraic Groups by Andre Weil,available at Book Depository with free delivery worldwide.

About this book. Introduction. This volume contains the original lecture notes presented by A. Weil in which the concept of adeles was first introduced, in conjunction with various aspects of C.L.

Siegel’s work on quadratic forms. COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

Adeles and Algebraic Groups by A. Weil, Birkhäuser, On Tuesday 29 October - Wednesday 30 October GMT, we’ll be making some site ’ll still be able to search, browse and read our articles, but you won’t be able to register, edit your account, purchase content, or activate tokens or eprints during that period.

Book description. Algebraic groups play much the same role for algebraists as Lie groups play for analysts. 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 by: Reading that book, many people entered the research field of linear algebraic groups.

The present book has a wider scope. Its aim is to treat the theory of linear algebraic groups over arbitrary fields. Again, the author keeps the treatment of prerequisites self-contained.

The material of the first ten chapters covers the contents of the old Cited by: Additional Physical Format: Online version: Weil, André, Adeles and algebraic groups. Boston: Birkhäuser, (OCoLC) Material Type. Book Info Automorphic Forms on Adele Groups. (AM) Book Description: This volume investigates the interplay between the classical theory of automorphic forms and the modern theory of representations of adele groups.

An adele group (also adèle group) is the restricted topological direct product ∏ ν ∈ VGkν(GOν) of the group Gkν with distinguished invariant open subgroups GOν. (See #Comment below for the definition of the restricted topological product.) Here Gk is a linear algebraic group, defined over a global field k.

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, analysis Book Edition: 1. Adeles and Algebraic Groups 英文书摘要 This volume contains the original lecture notes presented by A.

Weil in which the concept of Adeles was first introduced, in conjunction with various aspects of C.L. Siegela (TM)s work on quadratic forms. Reading. J.P. Serre: Local fields (for background on local fields) Dinakar Ramakrishnan: Fourier analysis on number fields (a good reference for topological groups and fields, Fourier analysis, adeles, and Tate's thesis; we will follow this book closely in parts.) Jürgen Neukirch: Algebraic number theory (for background on algebraic number theory, though this book has much more than we will need).

Algebraic groups play much the same role for algebraists that Lie groups play for analysts. This book is the first comprehensive introduction to the theory of algebraic group schemes over fields, including the structure theory of semisimple algebraic groups, written in the language of modern algebraic.

The book is concentrated around five major themes: linear algebraic groups and arithmetic groups, adeles and arithmetic properties of algebraic groups, automorphic functions and spectral decomposition of L2-spaces of coset spaces, holomorphic automorphic functions on bounded symmetric domains and moduli problems, vector valued cohomology and deformation of discrete subgroups.

Review of "Module Categories for Analytic Groups" by A.R. Magid, Bull. Amer. Math. Soc. (N.S.) 8 (), Review of "Adeles and Algebraic Groups" by A. Weil, Linear & Multilinear Algebra. Adelic algebraic group. In abstract algebra, an adelic algebraic group is a semitopological group defined by an algebraic group G over a number field K, and the adele ring A = A(K) of K.

It consists of the points of G having values in A; the definition of the appropriate topology is straightforward only in case G is a linear algebraic group.

Algebraic number theory involves using techniques from (mostly commutative) algebra and ﬁnite group theory to gain a deeper understanding of number ﬁelds. The main objects that we study in algebraic number theory are number ﬁelds, rings of integers of number ﬁelds, unit groups, ideal class groups,norms, traces,File Size: KB.Part of the Progress in Mathematics book series (PM, volume 23) Abstract As formerly, whenever V is a variety, defined over a field k, we denote by V k the set of points of V, rational over k; a vectorspace of dimension d over k can always be denoted by R k, where R is an affine space of dimension d in the sense of algebraic : A.

Weil.The first book I read on algebraic groups was An Introduction to Algebraic Geometry and Algebraic Groups by Meinolf Geck. As I recall, the book includes a lot of examples about the classical matrix groups, and gives elementary accounts of such things like computing the tangent space at the identity to get the Lie algebra.