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Author : Ian Stewart
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (634 download)
Download or read book Conjugacy Theorems for a Class of Locally Finite Lie Algebras written by Ian Stewart and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martyn Russell Dixon
Publisher : World Scientific
ISBN 13 : 9789810217952
Total Pages : 324 pages
Book Rating : 4.2/5 (179 download)
Download or read book Sylow Theory, Formations, and Fitting Classes in Locally Finite Groups written by Martyn Russell Dixon and published by World Scientific. This book was released on 1994 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the generalizations of Sylow theorems and the related topics of formations and the fitting of classes to locally finite groups. It also contains details of Sunkov's and Belyaev'ss results on locally finite groups with min-p for all primes p. This is the first time many of these topics have appeared in book form. The body of work here is fairly complete.
Author : I. Stewart
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (634 download)
Download or read book Structure Theorems for a Class of Locally Finite Lie Algebras written by I. Stewart and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ian Stewart
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 174 pages
Book Rating : 4.:/5 (41 download)
Download or read book Lie Algebras Generated by Finite-dimensional Ideals written by Ian Stewart and published by Pitman Publishing. This book was released on 1975 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ali Osman Asar
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.:/5 (426 download)
Download or read book Conjugacy theorems in locally finite groups written by Ali Osman Asar and published by . This book was released on 1971 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert V. Moody
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 760 pages
Book Rating : 4.3/5 (91 download)
Download or read book Lie Algebras with Triangular Decompositions written by Robert V. Moody and published by Wiley-Interscience. This book was released on 1995-04-17 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: Imparts a self-contained development of the algebraic theory of Kac-Moody algebras, their representations and close relatives--the Virasoro and Heisenberg algebras. Focuses on developing the theory of triangular decompositions and part of the Kac-Moody theory not specific to the affine case. Also covers lattices, and finite root systems, infinite-dimensional theory, Weyl groups and conjugacy theorems.
Author : Alexander A. Kirillov
Publisher : Cambridge University Press
ISBN 13 : 0521889693
Total Pages : 237 pages
Book Rating : 4.5/5 (218 download)
Download or read book An Introduction to Lie Groups and Lie Algebras written by Alexander A. Kirillov and published by Cambridge University Press. This book was released on 2008-07-31 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.
Author : Peter Webb
Publisher : Cambridge University Press
ISBN 13 : 1107162394
Total Pages : 339 pages
Book Rating : 4.1/5 (71 download)
Download or read book A Course in Finite Group Representation Theory written by Peter Webb and published by Cambridge University Press. This book was released on 2016-08-19 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.
Author : Pavel I. Etingof
Publisher : American Mathematical Soc.
ISBN 13 : 0821853511
Total Pages : 240 pages
Book Rating : 4.8/5 (218 download)
Download or read book Introduction to Representation Theory written by Pavel I. Etingof and published by American Mathematical Soc.. This book was released on 2011 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Daniel Gorenstein
Publisher : Springer Science & Business Media
ISBN 13 : 1468484974
Total Pages : 339 pages
Book Rating : 4.4/5 (684 download)
Download or read book Finite Simple Groups written by Daniel Gorenstein and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: In February 1981, the classification of the finite simple groups (Dl)* was completed,t. * representing one of the most remarkable achievements in the history or mathematics. Involving the combined efforts of several hundred mathematicians from around the world over a period of 30 years, the full proof covered something between 5,000 and 10,000 journal pages, spread over 300 to 500 individual papers. The single result that, more than any other, opened up the field and foreshadowed the vastness of the full classification proof was the celebrated theorem of Walter Feit and John Thompson in 1962, which stated that every finite group of odd order (D2) is solvable (D3)-a statement expressi ble in a single line, yet its proof required a full 255-page issue of the Pacific 10urnal of Mathematics [93]. Soon thereafter, in 1965, came the first new sporadic simple group in over 100 years, the Zvonimir Janko group 1 , to further stimulate the 1 'To make the book as self-contained as possible. we are including definitions of various terms as they occur in the text. However. in order not to disrupt the continuity of the discussion. we have placed them at the end of the Introduction. We denote these definitions by (DI). (D2), (D3). etc.
Author : Yun Gao
Publisher : American Mathematical Soc.
ISBN 13 : 0821845071
Total Pages : 314 pages
Book Rating : 4.8/5 (218 download)
Download or read book Quantum Affine Algebras, Extended Affine Lie Algebras, and Their Applications written by Yun Gao and published by American Mathematical Soc.. This book was released on 2010 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on Quantum Affine Algebras, Extended Affine Lie Algebras, and Applications, which was held at the Banff International Research Station, Banff, Canada, from March 2-7, 2008. Many of the papers include new results on different aspects of quantum affine algebras, extended affine Lie algebras, and their applications in other areas of mathematics and physics. Any reader interested in learning about the recent developments in quantum affine algebras and extended affine Lie algebras will benefit from this book.
Author :
Publisher :
ISBN 13 :
Total Pages : 374 pages
Book Rating : 4.3/5 (91 download)
Download or read book Group Theoretical Methods in Physics written by and published by . This book was released on 1974 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.:/5 (318 download)
Download or read book Compositio Mathematica written by and published by . This book was released on 1975 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin W. Liebeck
Publisher : American Mathematical Soc.
ISBN 13 : 0821869205
Total Pages : 394 pages
Book Rating : 4.8/5 (218 download)
Download or read book Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras written by Martin W. Liebeck and published by American Mathematical Soc.. This book was released on 2012-01-25 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concerns the theory of unipotent elements in simple algebraic groups over algebraically closed or finite fields, and nilpotent elements in the corresponding simple Lie algebras. These topics have been an important area of study for decades, with applications to representation theory, character theory, the subgroup structure of algebraic groups and finite groups, and the classification of the finite simple groups. The main focus is on obtaining full information on class representatives and centralizers of unipotent and nilpotent elements. Although there is a substantial literature on this topic, this book is the first single source where such information is presented completely in all characteristics. In addition, many of the results are new--for example, those concerning centralizers of nilpotent elements in small characteristics. Indeed, the whole approach, while using some ideas from the literature, is novel, and yields many new general and specific facts concerning the structure and embeddings of centralizers.
Author :
Publisher :
ISBN 13 :
Total Pages : 980 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. I. Deriziotis
Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.3/5 (91 download)
Download or read book Conjugacy Classes and Centralizers of Semisimple Elements in Finite Groups of Lie Type written by D. I. Deriziotis and published by . This book was released on 1984 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel Gorenstein
Publisher : Springer Science & Business Media
ISBN 13 : 1461336856
Total Pages : 493 pages
Book Rating : 4.4/5 (613 download)
Download or read book The Classification of Finite Simple Groups written by Daniel Gorenstein and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Never before in the history of mathematics has there been an individual theorem whose proof has required 10,000 journal pages of closely reasoned argument. Who could read such a proof, let alone communicate it to others? But the classification of all finite simple groups is such a theorem-its complete proof, developed over a 30-year period by about 100 group theorists, is the union of some 500 journal articles covering approximately 10,000 printed pages. How then is one who has lived through it all to convey the richness and variety of this monumental achievement? Yet such an attempt must be made, for without the existence of a coherent exposition of the total proof, there is a very real danger that it will gradually become lost to the living world of mathematics, buried within the dusty pages of forgotten journals. For it is almost impossible for the uninitiated to find the way through the tangled proof without an experienced guide; even the 500 papers themselves require careful selection from among some 2,000 articles on simple group theory, which together include often attractive byways, but which serve only to delay the journey.
