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The Cohomology Of Chevalley Groups Of Exceptional Lie Type
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Book Synopsis The Cohomology of Chevalley Groups of Exceptional Lie Type by : Samuel N. Kleinerman
Download or read book The Cohomology of Chevalley Groups of Exceptional Lie Type written by Samuel N. Kleinerman and published by American Mathematical Soc.. This book was released on 1982 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Twisted Tensor Products Related to the Cohomology of the Classifying Spaces of Loop Groups by : Katsuhiko Kuribayashi
Download or read book Twisted Tensor Products Related to the Cohomology of the Classifying Spaces of Loop Groups written by Katsuhiko Kuribayashi and published by American Mathematical Soc.. This book was released on 2006 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let $G$ be a compact, simply connected, simple Lie group. By applying the notion of a twisted tensor product in the senses of Brown as well as of Hess, we construct an economical injective resolution to compute, as an algebra, the cotorsion product which is the $E_2$-term of the cobar type Eilenberg-Moore spectral sequence converging to the cohomology of classifying space of the loop group $LG$. As an application, the cohomology $H^*(BLSpin(10); \mathbb{Z}/2)$ is explicitly determined as an $H^*(BSpin(10); \mathbb{Z}/2)$-module by using effectively the cobar type spectral sequence and the Hochschild spectral sequence, and further, by analyzing the TV-model for $BSpin(10)$.
Book Synopsis Cohomology of Finite Groups by : Alejandro Adem
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.
Book Synopsis Representations and Cohomology: Volume 2, Cohomology of Groups and Modules by : D. J. Benson
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.
Book Synopsis Group Representations: Cohomology, Group Actions and Topology by : Alejandro Adem
Download or read book Group Representations: Cohomology, Group Actions and Topology written by Alejandro Adem and published by American Mathematical Soc.. This book was released on 1998 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume combines contributions in topology and representation theory that reflect the increasingly vigorous interactions between these areas. Topics such as group theory, homotopy theory, cohomology of groups, and modular representations are covered. All papers have been carefully refereed and offer lasting value.
Book Synopsis Geometry and Cohomology in Group Theory by : Peter H. Kropholler
Download or read book Geometry and Cohomology in Group Theory written by Peter H. Kropholler and published by Cambridge University Press. This book was released on 1998-05-14 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reflects the fruitful connections between group theory and topology. It contains articles on cohomology, representation theory, geometric and combinatorial group theory. Some of the world's best known figures in this very active area of mathematics have made contributions, including substantial articles from Ol'shanskii, Mikhajlovskii, Carlson, Benson, Linnell, Wilson and Grigorchuk, which will be valuable reference works for some years to come. Pure mathematicians working in the fields of algebra, topology, and their interactions, will find this book of great interest.
Book Synopsis Classifying Spaces of Sporadic Groups by : David J. Benson
Download or read book Classifying Spaces of Sporadic Groups written by David J. Benson and published by American Mathematical Soc.. This book was released on 2008 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: For each of the 26 sporadic finite simple groups, the authors construct a 2-completed classifying space using a homotopy decomposition in terms of classifying spaces of suitable 2-local subgroups. This construction leads to an additive decomposition of the mod 2 group cohomology.
Book Synopsis Handbook of Algebraic Topology by : I.M. James
Download or read book Handbook of Algebraic Topology written by I.M. James and published by Elsevier. This book was released on 1995-07-18 with total page 1336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.
Book Synopsis Prospects in Topology (AM-138), Volume 138 by : Frank Quinn
Download or read book Prospects in Topology (AM-138), Volume 138 written by Frank Quinn and published by Princeton University Press. This book was released on 2016-03-02 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection brings together influential papers by mathematicians exploring the research frontiers of topology, one of the most important developments of modern mathematics. The papers cover a wide range of topological specialties, including tools for the analysis of group actions on manifolds, calculations of algebraic K-theory, a result on analytic structures on Lie group actions, a presentation of the significance of Dirac operators in smoothing theory, a discussion of the stable topology of 4-manifolds, an answer to the famous question about symmetries of simply connected manifolds, and a fresh perspective on the topological classification of linear transformations. The contributors include A. Adem, A. H. Assadi, M. Bökstedt, S. E. Cappell, R. Charney, M. W. Davis, P. J. Eccles, M. H. Freedman, I. Hambleton, J. C. Hausmann, S. Illman, G. Katz, M. Kreck, W. Lück, I. Madsen, R. J. Milgram, J. Morava, E. K. Pedersen, V. Puppe, F. Quinn, A. Ranicki, J. L. Shaneson, D. Sullivan, P. Teichner, Z. Wang, and S. Weinberger.
Book Synopsis Algebraic Topology by : Jaume Aguade
Download or read book Algebraic Topology written by Jaume Aguade and published by Springer. This book was released on 2006-11-15 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this collection, all fully refereed, original papers, reflect many aspects of recent significant advances in homotopy theory and group cohomology. From the Contents: A. Adem: On the geometry and cohomology of finite simple groups.- D.J. Benson: Resolutions and Poincar duality for finite groups.- C. Broto and S. Zarati: On sub-A*-algebras of H*V.- M.J. Hopkins, N.J. Kuhn, D.C. Ravenel: Morava K-theories of classifying spaces and generalized characters for finite groups.- K. Ishiguro: Classifying spaces of compact simple lie groups and p-tori.- A.T. Lundell: Concise tables of James numbers and some homotopyof classical Lie groups and associated homogeneous spaces.- J.R. Martino: Anexample of a stable splitting: the classifying space of the 4-dim unipotent group.- J.E. McClure, L. Smith: On the homotopy uniqueness of BU(2) at the prime 2.- G. Mislin: Cohomologically central elements and fusion in groups.
Book Synopsis On Finite Groups and Homotopy Theory by : Ran Levi
Download or read book On Finite Groups and Homotopy Theory written by Ran Levi and published by American Mathematical Soc.. This book was released on 1995 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: In part 1 we study the homology, homotopy, and stable homotopy of [capital Greek]Omega[italic capital]B[lowercase Greek]Pi[up arrowhead][over][subscript italic]p, where [italic capital]G is a finite [italic]p-perfect group. In part 2 we define the concept of resolutions by fibrations over an arbitrary family of spaces.
Book Synopsis Modular Representations of Finite Groups of Lie Type by : James E. Humphreys
Download or read book Modular Representations of Finite Groups of Lie Type written by James E. Humphreys and published by Cambridge University Press. This book was released on 2006 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.
Download or read book Handbook of Algebra written by and published by Elsevier. This book was released on 1995-12-18 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Algebra defines algebra as consisting of many different ideas, concepts and results. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. Each chapter of the book combines some of the features of both a graduate-level textbook and a research-level survey. This book is divided into eight sections. Section 1A focuses on linear algebra and discusses such concepts as matrix functions and equations and random matrices. Section 1B cover linear dependence and discusses matroids. Section 1D focuses on fields, Galois Theory, and algebraic number theory. Section 1F tackles generalizations of fields and related objects. Section 2A focuses on category theory, including the topos theory and categorical structures. Section 2B discusses homological algebra, cohomology, and cohomological methods in algebra. Section 3A focuses on commutative rings and algebras. Finally, Section 3B focuses on associative rings and algebras. This book will be of interest to mathematicians, logicians, and computer scientists.
Book Synopsis Reductive Subgroups of Exceptional Algebraic Groups by : Martin W. Liebeck
Download or read book Reductive Subgroups of Exceptional Algebraic Groups written by Martin W. Liebeck and published by American Mathematical Soc.. This book was released on 1996 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of simple algebraic groups is important in many areas of mathematics. The authors of this book investigate the subgroups of certain types of simple algebraic groups and obtain a complete description of all those subgroups which are themselves simple. This description is particularly useful in understanding centralizers of subgroups and restrictions of representations.
Book Synopsis Algebraic and Geometric Topology by :
Download or read book Algebraic and Geometric Topology written by and published by . This book was released on 2001 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Notices of the American Mathematical Society by : American Mathematical Society
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1988 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Representations of Finite Groups of Lie Type by : François Digne
Download or read book Representations of Finite Groups of Lie Type written by François Digne and published by Cambridge University Press. This book was released on 2020-03-05 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date and self-contained introduction based on a graduate course taught at the University of Paris.
