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Author : Joseph Anthony Wehlen
Publisher :
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.3/5 (129 download)
Download or read book Algebras of Finite Cohomological Dimension written by Joseph Anthony Wehlen and published by . This book was released on 1970 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alejandro Adem
Publisher : Springer Science & Business Media
ISBN 13 : 3662062828
Total Pages : 333 pages
Book Rating : 4.6/5 (62 download)
Download or read book Cohomology of Finite Groups written by Alejandro Adem and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: The cohomology of groups has, since its beginnings in the 1920s and 1930s, been the stage for significant interaction between algebra and topology and has led to the creation of important new fields in mathematics, like homological algebra and algebraic K-theory. This is the first book to deal comprehensively with the cohomology of finite groups: it introduces the most important and useful algebraic and topological techniques, and describes the interplay of the subject with those of homotopy theory, representation theory and group actions. The combination of theory and examples, together with the techniques for computing the cohomology of important classes of groups including symmetric groups, alternating groups, finite groups of Lie type, and some of the sporadic simple groups, enable readers to acquire an in-depth understanding of group cohomology and its extensive applications.
Author : Philippe Gille
Publisher : Cambridge University Press
ISBN 13 : 1107156378
Total Pages : 431 pages
Book Rating : 4.1/5 (71 download)
Download or read book Central Simple Algebras and Galois Cohomology written by Philippe Gille and published by Cambridge University Press. This book was released on 2017-08-10 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive modern introduction to central simple algebra starting from the basics and reaching advanced results.
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 : Jens Carsten Jantzen
Publisher : American Mathematical Soc.
ISBN 13 : 082184377X
Total Pages : 594 pages
Book Rating : 4.8/5 (218 download)
Download or read book Representations of Algebraic Groups written by Jens Carsten Jantzen and published by American Mathematical Soc.. This book was released on 2003 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 : Richard D. Schafer
Publisher : Courier Dover Publications
ISBN 13 : 0486164179
Total Pages : 177 pages
Book Rating : 4.4/5 (861 download)
Download or read book An Introduction to Nonassociative Algebras written by Richard D. Schafer and published by Courier Dover Publications. This book was released on 2017-11-15 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise graduate-level introductory study presents some of the important ideas and results in the theory of nonassociative algebras. Places particular emphasis on alternative and (commutative) Jordan algebras. 1966 edition.
Author : Allan M. Sinclair
Publisher : Cambridge University Press
ISBN 13 : 0521478804
Total Pages : 208 pages
Book Rating : 4.5/5 (214 download)
Download or read book Hochschild Cohomology of Von Neumann Algebras written by Allan M. Sinclair and published by Cambridge University Press. This book was released on 1995-03-09 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory text intended to give the non-specialist a comprehensive insight into the science of biotransformations. The book traces the history of biotransformations, clearly spells out the pros and cons of conducting enzyme-mediated versus whole-cell bioconversions, and gives a variety of examples wherein the bio-reaction is a key element in a reaction sequence leading from cheap starting materials to valuable end products.
Author : Alberto Elduque
Publisher : American Mathematical Soc.
ISBN 13 : 0821898469
Total Pages : 355 pages
Book Rating : 4.8/5 (218 download)
Download or read book Gradings on Simple Lie Algebras written by Alberto Elduque and published by American Mathematical Soc.. This book was released on 2013 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a self-contained exposition of the classification of gradings by arbitrary groups on classical simple Lie algebras over algebraically closed fields of characteristic not equal to 2 as well as on some non-classical simple Lie algebras in positive characteristic. Other important algebras also enter the stage: matrix algebras, the octonions, and the Albert algebra. Most of the presented results are recent and have not yet appeared in book form.
Author : Jean-Louis Colliot-Thélène
Publisher : Springer Nature
ISBN 13 : 3030742482
Total Pages : 450 pages
Book Rating : 4.0/5 (37 download)
Download or read book The Brauer–Grothendieck Group written by Jean-Louis Colliot-Thélène and published by Springer Nature. This book was released on 2021-07-30 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry. The importance of the cohomological Brauer group for applications to Diophantine equations and algebraic geometry was discovered soon after this group was introduced by Grothendieck. The Brauer–Manin obstruction plays a crucial role in the study of rational points on varieties over global fields. The birational invariance of the Brauer group was recently used in a novel way to establish the irrationality of many new classes of algebraic varieties. The book covers the vast theory underpinning these and other applications. Intended as an introduction to cohomological methods in algebraic geometry, most of the book is accessible to readers with a knowledge of algebra, algebraic geometry and algebraic number theory at graduate level. Much of the more advanced material is not readily available in book form elsewhere; notably, de Jong’s proof of Gabber’s theorem, the specialisation method and applications of the Brauer group to rationality questions, an in-depth study of the Brauer–Manin obstruction, and proof of the finiteness theorem for the Brauer group of abelian varieties and K3 surfaces over finitely generated fields. The book surveys recent work but also gives detailed proofs of basic theorems, maintaining a balance between general theory and concrete examples. Over half a century after Grothendieck's foundational seminars on the topic, The Brauer–Grothendieck Group is a treatise that fills a longstanding gap in the literature, providing researchers, including research students, with a valuable reference on a central object of algebraic and arithmetic geometry.
Author : D. J. Benson
Publisher : Cambridge University Press
ISBN 13 : 9780521636520
Total Pages : 296 pages
Book Rating : 4.6/5 (365 download)
Download or read book Representations and Cohomology: Volume 2, Cohomology of Groups and Modules written by D. J. Benson and published by Cambridge University Press. This book was released on 1991-08-22 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: A further introduction to modern developments in the representation theory of finite groups and associative algebras.
Author : Henning Krause
Publisher : Cambridge University Press
ISBN 13 : 1108985815
Total Pages : 518 pages
Book Rating : 4.1/5 (89 download)
Download or read book Homological Theory of Representations written by Henning Krause and published by Cambridge University Press. This book was released on 2021-11-18 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern developments in representation theory rely heavily on homological methods. This book for advanced graduate students and researchers introduces these methods from their foundations up and discusses several landmark results that illustrate their power and beauty. Categorical foundations include abelian and derived categories, with an emphasis on localisation, spectra, and purity. The representation theoretic focus is on module categories of Artin algebras, with discussions of the representation theory of finite groups and finite quivers. Also covered are Gorenstein and quasi-hereditary algebras, including Schur algebras, which model polynomial representations of general linear groups, and the Morita theory of derived categories via tilting objects. The final part is devoted to a systematic introduction to the theory of purity for locally finitely presented categories, covering pure-injectives, definable subcategories, and Ziegler spectra. With its clear, detailed exposition of important topics in modern representation theory, many of which were unavailable in one volume until now, it deserves a place in every representation theorist's library.
Author : Joachim J. R. Cuntz
Publisher : American Mathematical Soc.
ISBN 13 : 0821808230
Total Pages : 199 pages
Book Rating : 4.8/5 (218 download)
Download or read book Cyclic Cohomology and Noncommutative Geometry written by Joachim J. R. Cuntz and published by American Mathematical Soc.. This book was released on 1997 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncommutative geometry is a new field that is among the great challenges of present-day mathematics. Its methods allow one to treat noncommutative algebras - such as algebras of pseudodifferential operators, group algebras, or algebras arising from quantum field theory - on the same footing as commutative algebras, that is, as spaces. Applications range over many fields of mathematics and mathematical physics. This volume contains the proceedings of the workshop on "Cyclic Cohomology and Noncommutative Geometry" held at the Fields Institute in June 1995.
Author : Joachim Hilgert
Publisher : Springer Science & Business Media
ISBN 13 : 0387847944
Total Pages : 742 pages
Book Rating : 4.3/5 (878 download)
Download or read book Structure and Geometry of Lie Groups written by Joachim Hilgert and published by Springer Science & Business Media. This book was released on 2011-11-06 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie theory. Special emphasis is placed on homogeneous spaces and invariant geometric structures. The last section of the book is dedicated to the structure theory of Lie groups. Particularly, they focus on maximal compact subgroups, dense subgroups, complex structures, and linearity. This text is accessible to a broad range of mathematicians and graduate students; it will be useful both as a graduate textbook and as a research reference.
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 : Stephen S. Shatz
Publisher : Princeton University Press
ISBN 13 : 1400881854
Total Pages : 265 pages
Book Rating : 4.4/5 (8 download)
Download or read book Profinite Groups, Arithmetic, and Geometry written by Stephen S. Shatz and published by Princeton University Press. This book was released on 2016-03-02 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, the author covers profinite groups and their cohomology, Galois cohomology, and local class field theory, and concludes with a treatment of duality. His objective is to present effectively that body of material upon which all modern research in Diophantine geometry and higher arithmetic is based, and to do so in a manner that emphasizes the many interesting lines of inquiry leading from these foundations.
Author : Kevin Costello
Publisher : Cambridge University Press
ISBN 13 : 1107163102
Total Pages : 399 pages
Book Rating : 4.1/5 (71 download)
Download or read book Factorization Algebras in Quantum Field Theory written by Kevin Costello and published by Cambridge University Press. This book was released on 2017 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume develops factorization algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and graduates.
