An Introduction To Algebraic Geometry And Algebraic Groups

An Introduction To Algebraic Geometry And Algebraic Groups Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of An Introduction To Algebraic Geometry And Algebraic Groups book. This book definitely worth reading, it is an incredibly well-written.

An Introduction to Algebraic Geometry and Algebraic Groups

Meinolf Geck
An Introduction to Algebraic Geometry and Algebraic Groups Book PDF

Author : Meinolf Geck
Publisher : Oxford University Press
Page : 321 pages
File Size : 47,8 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9780199676163

Get Book

An Introduction to Algebraic Geometry and Algebraic Groups by Meinolf Geck Pdf

An accessible text introducing algebraic groups at advanced undergraduate and early graduate level, this book covers the conjugacy of Borel subgroups and maximal tori, the theory of algebraic groups with a BN-pair, Frobenius maps on affine varieties and algebraic groups, zeta functions and Lefschetz numbers for varieties over finite fields.

Introduction to Algebraic Geometry and Algebraic Groups

Anonim
Introduction to Algebraic Geometry and Algebraic Groups Book PDF

Author : Anonim
Publisher : Elsevier
Page : 356 pages
File Size : 47,6 Mb
Release : 1980-01-01
Category : Mathematics
ISBN : 008087150X

Get Book

Introduction to Algebraic Geometry and Algebraic Groups by Anonim Pdf

Introduction to Algebraic Geometry and Algebraic Groups

Introduction to Algebraic Geometry

Serge Lang
Introduction to Algebraic Geometry Book PDF

Author : Serge Lang
Publisher : Courier Dover Publications
Page : 273 pages
File Size : 42,9 Mb
Release : 2019-03-20
Category : Mathematics
ISBN : 9780486839806

Get Book

Introduction to Algebraic Geometry by Serge Lang Pdf

Author Serge Lang defines algebraic geometry as the study of systems of algebraic equations in several variables and of the structure that one can give to the solutions of such equations. The study can be carried out in four ways: analytical, topological, algebraico-geometric, and arithmetic. This volume offers a rapid, concise, and self-contained introductory approach to the algebraic aspects of the third method, the algebraico-geometric. The treatment assumes only familiarity with elementary algebra up to the level of Galois theory. Starting with an opening chapter on the general theory of places, the author advances to examinations of algebraic varieties, the absolute theory of varieties, and products, projections, and correspondences. Subsequent chapters explore normal varieties, divisors and linear systems, differential forms, the theory of simple points, and algebraic groups, concluding with a focus on the Riemann-Roch theorem. All the theorems of a general nature related to the foundations of the theory of algebraic groups are featured.

Linear Algebraic Groups

T.A. Springer
Linear Algebraic Groups Book PDF

Author : T.A. Springer
Publisher : Springer Science & Business Media
Page : 334 pages
File Size : 43,8 Mb
Release : 2010-10-12
Category : Mathematics
ISBN : 9780817648404

Get Book

Linear Algebraic Groups by T.A. Springer Pdf

The first edition of this book presented the theory of linear algebraic groups over an algebraically closed field. The second edition, thoroughly revised and expanded, extends the theory over arbitrary fields, which are not necessarily algebraically closed. It thus represents a higher aim. As in the first edition, the book includes a self-contained treatment of the prerequisites from algebraic geometry and commutative algebra, as well as basic results on reductive groups. As a result, the first part of the book can well serve as a text for an introductory graduate course on linear algebraic groups.

Algebraic Groups

J. S. Milne
Algebraic Groups Book PDF

Author : J. S. Milne
Publisher : Cambridge University Press
Page : 665 pages
File Size : 45,8 Mb
Release : 2017-09-21
Category : Mathematics
ISBN : 9781107167483

Get Book

Algebraic Groups by J. S. Milne Pdf

Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.

Introduction to Representation Theory

Pavel I. Etingof,Oleg Golberg,Sebastian Hensel ,Tiankai Liu ,Alex Schwendner ,Dmitry Vaintrob ,Elena Yudovina
Introduction to Representation Theory Book PDF

Author : Pavel I. Etingof,Oleg Golberg,Sebastian Hensel ,Tiankai Liu ,Alex Schwendner ,Dmitry Vaintrob ,Elena Yudovina
Publisher : American Mathematical Soc.
Page : 240 pages
File Size : 43,6 Mb
Release : 2011
Category : Mathematics
ISBN : 9780821853511

Get Book

Introduction to Representation Theory by Pavel I. Etingof,Oleg Golberg,Sebastian Hensel ,Tiankai Liu ,Alex Schwendner ,Dmitry Vaintrob ,Elena Yudovina Pdf

Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.

Actions and Invariants of Algebraic Groups

Walter Ricardo Ferrer Santos,Alvaro Rittatore
Actions and Invariants of Algebraic Groups Book PDF

Author : Walter Ricardo Ferrer Santos,Alvaro Rittatore
Publisher : CRC Press
Page : 479 pages
File Size : 43,9 Mb
Release : 2017-09-19
Category : Mathematics
ISBN : 9781482239164

Get Book

Actions and Invariants of Algebraic Groups by Walter Ricardo Ferrer Santos,Alvaro Rittatore Pdf

Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.

Linear Algebraic Groups

James E. Humphreys
Linear Algebraic Groups Book PDF

Author : James E. Humphreys
Publisher : Springer Science & Business Media
Page : 259 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468494433

Get Book

Linear Algebraic Groups by James E. Humphreys Pdf

James E. Humphreys is a distinguished Professor of Mathematics at the University of Massachusetts at Amherst. He has previously held posts at the University of Oregon and New York University. His main research interests include group theory and Lie algebras, and this graduate level text is an exceptionally well-written introduction to everything about linear algebraic groups.

Affine Sets and Affine Groups

D. G. Northcott
Affine Sets and Affine Groups Book PDF

Author : D. G. Northcott
Publisher : Cambridge University Press
Page : 297 pages
File Size : 42,7 Mb
Release : 1980-05-08
Category : Mathematics
ISBN : 9780521229098

Get Book

Affine Sets and Affine Groups by D. G. Northcott Pdf

In these notes, first published in 1980, Professor Northcott provides a self-contained introduction to the theory of affine algebraic groups for mathematicians with a basic knowledge of communicative algebra and field theory. The book divides into two parts. The first four chapters contain all the geometry needed for the second half of the book which deals with affine groups. Alternatively the first part provides a sure introduction to the foundations of algebraic geometry. Any affine group has an associated Lie algebra. In the last two chapters, the author studies these algebras and shows how, in certain important cases, their properties can be transferred back to the groups from which they arose. These notes provide a clear and carefully written introduction to algebraic geometry and algebraic groups.

Computation with Linear Algebraic Groups

Willem Adriaan de Graaf
Computation with Linear Algebraic Groups Book PDF

Author : Willem Adriaan de Graaf
Publisher : CRC Press
Page : 324 pages
File Size : 54,5 Mb
Release : 2017-08-07
Category : Mathematics
ISBN : 9781498722919

Get Book

Computation with Linear Algebraic Groups by Willem Adriaan de Graaf Pdf

Designed as a self-contained account of a number of key algorithmic problems and their solutions for linear algebraic groups, this book combines in one single text both an introduction to the basic theory of linear algebraic groups and a substantial collection of useful algorithms. Computation with Linear Algebraic Groups offers an invaluable guide to graduate students and researchers working in algebraic groups, computational algebraic geometry, and computational group theory, as well as those looking for a concise introduction to the theory of linear algebraic groups.

Representations of Algebraic Groups

Jens Carsten Jantzen
Representations of Algebraic Groups Book PDF

Author : Jens Carsten Jantzen
Publisher : American Mathematical Soc.
Page : 594 pages
File Size : 40,8 Mb
Release : 2003
Category : Linear algebraic groups
ISBN : 9780821843772

Get Book

Representations of Algebraic Groups by Jens Carsten Jantzen Pdf

Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.

Introduction to the Theory of Formal Groups

Jean A. Dieudonne
Introduction to the Theory of Formal Groups Book PDF

Author : Jean A. Dieudonne
Publisher : CRC Press
Page : 286 pages
File Size : 54,5 Mb
Release : 2020-01-29
Category : Mathematics
ISBN : 9781000723311

Get Book

Introduction to the Theory of Formal Groups by Jean A. Dieudonne Pdf

The concept of formal Lie group was derived in a natural way from classical Lie theory by S. Bochner in 1946, for fields of characteristic 0. Its study over fields of characteristic p > 0 began in the early 1950’s, when it was realized, through the work of Chevalley, that the familiar “dictionary” between Lie groups and Lie algebras completely broke down for Lie algebras of algebraic groups over such a field. This volume, starts with the concept of C-group for any category C (with products and final object), but the author’s do not exploit it in its full generality. The book is meant to be introductory to the theory, and therefore the necessary background to its minimum possible level is minimised: no algebraic geometry and very little commutative algebra is required in chapters I to III, and the algebraic geometry used in chapter IV is limited to the Serre- Chevalley type (varieties over an algebraically closed field).

Introduction to Affine Group Schemes

W.C. Waterhouse
Introduction to Affine Group Schemes Book PDF

Author : W.C. Waterhouse
Publisher : Springer Science & Business Media
Page : 167 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461262176

Get Book

Introduction to Affine Group Schemes by W.C. Waterhouse Pdf

Ah Love! Could you and I with Him consl?ire To grasp this sorry Scheme of things entIre' KHAYYAM People investigating algebraic groups have studied the same objects in many different guises. My first goal thus has been to take three different viewpoints and demonstrate how they offer complementary intuitive insight into the subject. In Part I we begin with a functorial idea, discussing some familiar processes for constructing groups. These turn out to be equivalent to the ring-theoretic objects called Hopf algebras, with which we can then con struct new examples. Study of their representations shows that they are closely related to groups of matrices, and closed sets in matrix space give us a geometric picture of some of the objects involved. This interplay of methods continues as we turn to specific results. In Part II, a geometric idea (connectedness) and one from classical matrix theory (Jordan decomposition) blend with the study of separable algebras. In Part III, a notion of differential prompted by the theory of Lie groups is used to prove the absence of nilpotents in certain Hopf algebras. The ring-theoretic work on faithful flatness in Part IV turns out to give the true explanation for the behavior of quotient group functors. Finally, the material is connected with other parts of algebra in Part V, which shows how twisted forms of any algebraic structure are governed by its automorphism group scheme.

Adeles and Algebraic Groups

A. Weil
Adeles and Algebraic Groups Book PDF

Author : A. Weil
Publisher : Springer Science & Business Media
Page : 137 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468491562

Get Book

Adeles and Algebraic Groups by A. Weil Pdf

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. Serving as an introduction to the subject, these notes may also provide stimulation for further research.

Differential Algebraic Groups of Finite Dimension

Alexandru Buium
Differential Algebraic Groups of Finite Dimension Book PDF

Author : Alexandru Buium
Publisher : Springer
Page : 170 pages
File Size : 54,9 Mb
Release : 1992
Category : Mathematics
ISBN : UOM:39015042076938

Get Book

Differential Algebraic Groups of Finite Dimension by Alexandru Buium Pdf

Differential algebraic groups were introduced by P. Cassidy and E. Kolchin and are, roughly speaking, groups defined by algebraic differential equations in the same way as algebraic groups are groups defined by algebraic equations. The aim of the book is two-fold: 1) the provide an algebraic geometer's introduction to differential algebraic groups and 2) to provide a structure and classification theory for the finite dimensional ones. The main idea of the approach is to relate this topic to the study of: a) deformations of (not necessarily linear) algebraic groups and b) deformations of their automorphisms. The reader is assumed to possesssome standard knowledge of algebraic geometry but no familiarity with Kolchin's work is necessary. The book is both a research monograph and an introduction to a new topic and thus will be of interest to a wide audience ranging from researchers to graduate students.