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Author : Lee Charles Klingler
Publisher :
ISBN 13 :
Total Pages : 384 pages
Book Rating : 4.:/5 (89 download)
Download or read book Modules Over ZG, G a Non-abelian Group of Order Pq written by Lee Charles Klingler and published by . This book was released on 1984 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vlastimil Dlab
Publisher :
ISBN 13 :
Total Pages : 434 pages
Book Rating : 4.E/5 ( download)
Download or read book Proceedings of the Fourth International Conference on Representations of Algebras (Carleton University, Ottawa, 1985) written by Vlastimil Dlab and published by . This book was released on 1985 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 1028 pages
Book Rating : 4.:/5 (36 download)
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1985 with total page 1028 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains articles of significant interest to mathematicians, including reports on current mathematical research.
Author :
Publisher :
ISBN 13 :
Total Pages : 1016 pages
Book Rating : 4.3/5 (91 download)
Download or read book Comprehensive Dissertation Index written by and published by . This book was released on 1989 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kenneth S. Brown
Publisher : Springer Science & Business Media
ISBN 13 : 1468493272
Total Pages : 318 pages
Book Rating : 4.4/5 (684 download)
Download or read book Cohomology of Groups written by Kenneth S. Brown and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at second year graduate students, this text introduces them to cohomology theory (involving a rich interplay between algebra and topology) with a minimum of prerequisites. No homological algebra is assumed beyond what is normally learned in a first course in algebraic topology, and the basics of the subject, as well as exercises, are given prior to discussion of more specialized topics.
Author : J. S. Milne
Publisher : Cambridge University Press
ISBN 13 : 1107167485
Total Pages : 665 pages
Book Rating : 4.1/5 (71 download)
Download or read book Algebraic Groups written by J. S. Milne and published by Cambridge University Press. This book was released on 2017-09-21 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.
Author : Charles A. Weibel
Publisher : Cambridge University Press
ISBN 13 : 113964307X
Total Pages : 470 pages
Book Rating : 4.1/5 (396 download)
Download or read book An Introduction to Homological Algebra written by Charles A. Weibel and published by Cambridge University Press. This book was released on 1995-10-27 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras are also described. This book is suitable for second or third year graduate students. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. By making these tools more accessible, the book helps to break down the technological barrier between experts and casual users of homological 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 : Jean-Pierre Serre
Publisher : Springer Science & Business Media
ISBN 13 : 1475756739
Total Pages : 249 pages
Book Rating : 4.4/5 (757 download)
Download or read book Local Fields written by Jean-Pierre Serre and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to present local class field theory from the cohomo logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions-primarily abelian-of "local" (i.e., complete for a discrete valuation) fields with finite residue field. For example, such fields are obtained by completing an algebraic number field; that is one of the aspects of "localisation". The chapters are grouped in "parts". There are three preliminary parts: the first two on the general theory of local fields, the third on group coho mology. Local class field theory, strictly speaking, does not appear until the fourth part. Here is a more precise outline of the contents of these four parts: The first contains basic definitions and results on discrete valuation rings, Dedekind domains (which are their "globalisation") and the completion process. The prerequisite for this part is a knowledge of elementary notions of algebra and topology, which may be found for instance in Bourbaki. The second part is concerned with ramification phenomena (different, discriminant, ramification groups, Artin representation). Just as in the first part, no assumptions are made here about the residue fields. It is in this setting that the "norm" map is studied; I have expressed the results in terms of "additive polynomials" and of "multiplicative polynomials", since using the language of algebraic geometry would have led me too far astray.
Author : William Burnside
Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.F/5 ( download)
Download or read book Theory of Groups of Finite Order written by William Burnside and published by . This book was released on 1897 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charles Lanski
Publisher : American Mathematical Soc.
ISBN 13 : 9780821874288
Total Pages : 564 pages
Book Rating : 4.8/5 (742 download)
Download or read book Concepts in Abstract Algebra written by Charles Lanski and published by American Mathematical Soc.. This book was released on with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: The style and structure of CONCEPTS IN ABSTRACT ALGEBRA is designed to help students learn the core concepts and associated techniques in algebra deeply and well. Providing a fuller and richer account of material than time allows in a lecture, this text presents interesting examples of sufficient complexity so that students can see the concepts and results used in a nontrivial setting. Author Charles Lanski gives students the opportunity to practice by offering many exercises that require the use and synthesis of the techniques and results. Both readable and mathematically interesting, the text also helps students learn the art of constructing mathematical arguments. Overall, students discover how mathematics proceeds and how to use techniques that mathematicians actually employ. This book is included in the Brooks/Cole Series in Advanced Mathematics (Series Editor: Paul Sally, Jr.).
Author : Frederick Goodman
Publisher : SemiSimple Press (Frederick Goodman)
ISBN 13 : 0979914213
Total Pages : 586 pages
Book Rating : 4.9/5 (799 download)
Download or read book Algebra: Abstract and Concrete, edition 2.6 written by Frederick Goodman and published by SemiSimple Press (Frederick Goodman). This book was released on 2014-01-10 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a thorough introduction to “modern” or “abstract” algebra at a level suitable for upper-level undergraduates and beginning graduate students. The book addresses the conventional topics: groups, rings, fields, and linear algebra, with symmetry as a unifying theme. This subject matter is central and ubiquitous in modern mathematics and in applications ranging from quantum physics to digital communications. The most important goal of this book is to engage students in the ac- tive practice of mathematics.
Author : Bruce A. Magurn
Publisher :
ISBN 13 :
Total Pages : 836 pages
Book Rating : 4.:/5 (43 download)
Download or read book Reviews in K-theory, 1940-84 written by Bruce A. Magurn and published by . This book was released on 1985 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ronald Brown
Publisher : JP Medical Ltd
ISBN 13 : 9783037190838
Total Pages : 714 pages
Book Rating : 4.1/5 (98 download)
Download or read book Nonabelian Algebraic Topology written by Ronald Brown and published by JP Medical Ltd. This book was released on 2011 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of this book is that the use of filtered spaces rather than just topological spaces allows the development of basic algebraic topology in terms of higher homotopy groupoids; these algebraic structures better reflect the geometry of subdivision and composition than those commonly in use. Exploration of these uses of higher dimensional versions of groupoids has been largely the work of the first two authors since the mid 1960s. The structure of the book is intended to make it useful to a wide class of students and researchers for learning and evaluating these methods, primarily in algebraic topology but also in higher category theory and its applications in analogous areas of mathematics, physics, and computer science. Part I explains the intuitions and theory in dimensions 1 and 2, with many figures and diagrams, and a detailed account of the theory of crossed modules. Part II develops the applications of crossed complexes. The engine driving these applications is the work of Part III on cubical $\omega$-groupoids, their relations to crossed complexes, and their homotopically defined examples for filtered spaces. Part III also includes a chapter suggesting further directions and problems, and three appendices give accounts of some relevant aspects of category theory. Endnotes for each chapter give further history and references.
Author : Charles A. Weibel
Publisher : American Mathematical Soc.
ISBN 13 : 0821891324
Total Pages : 634 pages
Book Rating : 4.8/5 (218 download)
Download or read book The $K$-book written by Charles A. Weibel and published by American Mathematical Soc.. This book was released on 2013-06-13 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vector spaces and producing important intrinsic invariants which are useful in the study of algebr
Author : Ambar N. Sengupta
Publisher : Springer Science & Business Media
ISBN 13 : 1461412315
Total Pages : 383 pages
Book Rating : 4.4/5 (614 download)
Download or read book Representing Finite Groups written by Ambar N. Sengupta and published by Springer Science & Business Media. This book was released on 2011-12-09 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate textbook presents the basics of representation theory for finite groups from the point of view of semisimple algebras and modules over them. The presentation interweaves insights from specific examples with development of general and powerful tools based on the notion of semisimplicity. The elegant ideas of commutant duality are introduced, along with an introduction to representations of unitary groups. The text progresses systematically and the presentation is friendly and inviting. Central concepts are revisited and explored from multiple viewpoints. Exercises at the end of the chapter help reinforce the material. Representing Finite Groups: A Semisimple Introduction would serve as a textbook for graduate and some advanced undergraduate courses in mathematics. Prerequisites include acquaintance with elementary group theory and some familiarity with rings and modules. A final chapter presents a self-contained account of notions and results in algebra that are used. Researchers in mathematics and mathematical physics will also find this book useful. A separate solutions manual is available for instructors.
Author : Sudarshan K. Sehgal
Publisher : Halsted Press
ISBN 13 : 9780470200087
Total Pages : 357 pages
Book Rating : 4.2/5 ( download)
Download or read book Units in Integral Group Rings written by Sudarshan K. Sehgal and published by Halsted Press. This book was released on 1993-10-01 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt:
