Collected Papers: Finite groups, lie groups, number theory, polynomials and equations; geometry, and biography PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Collected Papers: Finite groups, lie groups, number theory, polynomials and equations; geometry, and biography PDF full book. Access full book title Collected Papers: Finite groups, lie groups, number theory, polynomials and equations; geometry, and biography by Richard Brauer. Download full books in PDF and EPUB format.
Author: Richard Brauer
Publisher:
ISBN:
Category : Mathematics
Languages : de
Pages :
Get Book Here
Book Description
Author: Richard Brauer
Publisher:
ISBN:
Category : Mathematics
Languages : de
Pages :
Get Book Here
Book Description
Author: Richard Brauer
Publisher:
ISBN:
Category : Mathematics
Languages : de
Pages :
Get Book Here
Book Description
Author: Paul Fong
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Armand Borel
Publisher: American Mathematical Soc.
ISBN: 0821802887
Category : Mathematics
Languages : en
Pages : 184
Get Book Here
Book Description
Algebraic groups and Lie groups are important in most major areas of mathematics, occuring in diverse roles such as the symmetries of differential equations and as central figures in the Langlands program for number theory. In this book, Professor Borel looks at the development of the theory of Lie groups and algebraic groups, highlighting the evolution from the almost purely local theory at the start to the global theory that we know today. As the starting point of this passagefrom local to global, the author takes Lie's theory of local analytic transformation groups and Lie algebras. He then follows the globalization of the process in its two most important frameworks: (transcendental) differential geometry and algebraic geometry. Chapters II to IV are devoted to the former,Chapters V to VIII, to the latter.The essays in the first part of the book survey various proofs of the full reducibility of linear representations of $SL 2M$, the contributions H. Weyl to representation and invariant theory for Lie groups, and conclude with a chapter on E. Cartan's theory of symmetric spaces and Lie groups in the large.The second part of the book starts with Chapter V describing the development of the theory of linear algebraic groups in the 19th century. Many of the main contributions here are due to E. Study, E. Cartan, and above all, to L. Maurer. After being abandoned for nearly 50 years, the theory was revived by Chevalley and Kolchin and then further developed by many others. This is the focus of Chapter VI. The book concludes with two chapters on various aspects of the works of Chevalley on Lie groupsand algebraic groups and Kolchin on algebraic groups and the Galois theory of differential fields.The author brings a unique perspective to this study. As an important developer of some of the modern elements of both the differential geometric and the algebraic geometric sides of the theory, he has a particularly deep appreciation of the underlying mathematics. His lifelong involvement and his historical research in the subject give him a special appreciation of the story of its development.
Author: Yvette Kosmann-Schwarzbach
Publisher: Springer Nature
ISBN: 3030943607
Category : Mathematics
Languages : en
Pages : 266
Get Book Here
Book Description
- Combines material from many areas of mathematics, including algebra, geometry, and analysis, so students see connections between these areas - Applies material to physics so students appreciate the applications of abstract mathematics - Assumes only linear algebra and calculus, making an advanced subject accessible to undergraduates - Includes 142 exercises, many with hints or complete solutions, so text may be used in the classroom or for self study
Author: Thomas Charles B
Publisher: World Scientific
ISBN: 1911298313
Category : Mathematics
Languages : en
Pages : 156
Get Book Here
Book Description
This book provides an introduction to representations of both finite and compact groups. The proofs of the basic results are given for the finite case, but are so phrased as to hold without change for compact topological groups with an invariant integral replacing the sum over the group elements as an averaging tool. Among the topics covered are the relation between representations and characters, the construction of irreducible representations, induced representations and Frobenius reciprocity. Special emphasis is given to exterior powers, with the symmetric group Sn as an illustrative example. The book concludes with a chapter comparing the representations of the finite group SL2(p) and the non-compact Lie group SL2(P)./a
Author: William R. Scott
Publisher: Academic Press
ISBN: 1483261085
Category : Mathematics
Languages : en
Pages : 580
Get Book Here
Book Description
Proceedings of the Conference on Finite Groups provides information pertinent to the fundamental aspects of finite group theory. This book presents the problem of characterizing simple groups in terms of the local structure of a group. Organized into five parts encompassing 43 chapters, this book begins with an overview of the characterization of the Chevalley groups over fields of odd order and indicates the role of this characterization in the theory of component type groups. This text then examines the structure as well as the representations of specific simple groups. Other chapters consider the general theory of representations and characters of finite groups. This book discusses as well permutation groups and the connection between group theory and geometry. The final chapter deals with finite solvable groups as well as the theory of formations. This book is a valuable resource for mathematicians, graduate students, and research workers.
Author: Pietro Giuseppe Fré
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111201538
Category : Science
Languages : en
Pages : 530
Get Book Here
Book Description
In a self contained and exhaustive work the author covers Group Theory in its multifaceted aspects, treating its conceptual foundations in a proper logical order. First discrete and finite group theory, that includes the entire chemical-physical field of crystallography is developed self consistently, followed by the structural theory of Lie Algebras with a complete exposition of the roots and Dynkin diagrams lore. A primary on Fibre-Bundles, Connections and Gauge fields, Riemannian Geometry and the theory of Homogeneous Spaces G/H is also included and systematically developed.
Author: Richard Brauer
Publisher: Mit Press
ISBN: 9780262523882
Category : Mathematics
Languages : en
Pages : 672
Get Book Here
Book Description
Richard Brauer (1901-1977) was one of the leading algebraists of this century. Although he contributed to a number of mathematical fields, Brauer devoted the major share of his efforts to the study of finite groups, a subject of considerable abstract interest and one that underlies many of the more recent advances in combinatorics and finite geometries.The 120 papers collected in this volume were first published between 1926 and 1979. Brauer's mathematical impulse was remarkably steady, and his papers are equally distributed between those written before his fiftieth year and those written thereafter, including a number of contributions that were published after his formal retirement as Perkins Professor of Mathematics as Harvard in 1971.The papers are grouped into six sections following an autobiographical preface written for this collection. The first section contains twenty papers on the theory of algebras and is introduced by Oscar Goldman. The seventy-four papers on finite groups make up the second and largest section, which spans all three volumes. The final four sections complete the third volume and represent Brauer's contribution to Lie groups, number theory, polynomials and equations, geometries and biographies of Artin and Thompson.
Author: Richard Brauer
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 608
Get Book Here
Book Description
