Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Group Homology And The Special Linear Group
Download Group Homology And The Special Linear Group full books in PDF, epub, and Kindle. Read online Group Homology And The Special Linear Group ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Homology of Linear Groups by : Kevin P. Knudson
Download or read book Homology of Linear Groups written by Kevin P. Knudson and published by Birkhäuser. This book was released on 2012-12-06 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Daniel Quillen's definition of the higher algebraic K-groups of a ring emphasized the importance of computing the homology of groups of matrices. This text traces the development of this theory from Quillen's fundamental calculation. It presents the stability theorems and low-dimensional results of A. Suslin, W. van der Kallen and others are presented. Coverage also examines the Friedlander-Milnor-conjecture concerning the homology of algebraic groups made discrete.
Book Synopsis GROUP HOMOLOGY AND THE SPECIAL LINEAR GROUP.. by : ALAN CRAIG STICKNEY
Download or read book GROUP HOMOLOGY AND THE SPECIAL LINEAR GROUP.. written by ALAN CRAIG STICKNEY and published by . This book was released on 1975 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis HOMOLOGY OF THE SPECIAL LINEAR GROUP OF THE RING OF INTEGERS LOCALIZED AWAY FROM A PRIME. by : KENNETH N. MOSS
Download or read book HOMOLOGY OF THE SPECIAL LINEAR GROUP OF THE RING OF INTEGERS LOCALIZED AWAY FROM A PRIME. written by KENNETH N. MOSS and published by . This book was released on 1981 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Homology of Special Linear Groups Over Laurent Polynomial Rings by : Kevin Patrick Knudson
Download or read book The Homology of Special Linear Groups Over Laurent Polynomial Rings written by Kevin Patrick Knudson and published by . This book was released on 1996 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Homology of the Special Linear Group of the Ring of Integers Localized Away from a Prime by : Kenneth Norman Moss
Download or read book Homology of the Special Linear Group of the Ring of Integers Localized Away from a Prime written by Kenneth Norman Moss and published by . This book was released on 1979 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Ergodic Theoretic Methods in Group Homology by : Clara Löh
Download or read book Ergodic Theoretic Methods in Group Homology written by Clara Löh and published by Springer Nature. This book was released on 2020-03-14 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a concise introduction to ergodic methods in group homology, with a particular focus on the computation of L2-Betti numbers. Group homology integrates group actions into homological structure. Coefficients based on probability measure preserving actions combine ergodic theory and homology. An example of such an interaction is provided by L2-Betti numbers: these invariants can be understood in terms of group homology with coefficients related to the group von Neumann algebra, via approximation by finite index subgroups, or via dynamical systems. In this way, L2-Betti numbers lead to orbit/measure equivalence invariants and measured group theory helps to compute L2-Betti numbers. Similar methods apply also to compute the rank gradient/cost of groups as well as the simplicial volume of manifolds. This book introduces L2-Betti numbers of groups at an elementary level and then develops the ergodic point of view, emphasising the connection with approximation phenomena for homological gradient invariants of groups and spaces. The text is an extended version of the lecture notes for a minicourse at the MSRI summer graduate school “Random and arithmetic structures in topology” and thus accessible to the graduate or advanced undergraduate students. Many examples and exercises illustrate the material.
Book Synopsis Cohomology of Groups by : Kenneth S. Brown
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.
Book Synopsis The Structure of Linear Groups by : John D. Dixon
Download or read book The Structure of Linear Groups written by John D. Dixon and published by London ; Toronto : Van Nostrand Reinhold Company. This book was released on 1971 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic Topology: New Trends in Localization and Periodicity by : Carles Broto
Download or read book Algebraic Topology: New Trends in Localization and Periodicity written by Carles Broto and published by Birkhäuser. This book was released on 2012-12-06 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Central to this collection of papers are new developments in the general theory of localization of spaces. This field has undergone tremendous change of late and is yielding new insight into the mysteries of classical homotopy theory. The present volume comprises the refereed articles submitted at the Conference on Algebraic Topology held in Sant Feliu de Guíxols, Spain, in June 1994. Several comprehensive articles on general localization clarify the basic tools and give a report on the state of the art in the subject matter. The text is therefore accessible not only to the professional mathematician but also to the advanced student.
Book Synopsis Homology Stability for the Special Linear Group of a Field and Milnor-Witt K-theory by : Liqun Tao
Download or read book Homology Stability for the Special Linear Group of a Field and Milnor-Witt K-theory written by Liqun Tao and published by . This book was released on 2009 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 An Introduction to Homological Algebra by : Charles A. Weibel
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.
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 Foundations of Differentiable Manifolds and Lie Groups by : Frank W. Warner
Download or read book Foundations of Differentiable Manifolds and Lie Groups written by Frank W. Warner and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. Coverage includes differentiable manifolds, tensors and differentiable forms, Lie groups and homogenous spaces, and integration on manifolds. The book also provides a proof of the de Rham theorem via sheaf cohomology theory and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem.
Book Synopsis Buildings, Group Homology and Lattices by : Jan Essert
Download or read book Buildings, Group Homology and Lattices written by Jan Essert and published by Sudwestdeutscher Verlag Fur Hochschulschriften AG. This book was released on 2010-11 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis addresses questions concerning the homology of groups related to buildings. We also give a new construction of lattices in such groups and investigate their group homology. Specifically, we construct a simplicial complex called the Wagoner complex associated to any group of Kac-Moody type. For a 2-spherical group G of Kac-Moody type, we show that the fundamental group of the Wagoner complex is almost always isomorphic to the Schur multiplier of the little projective group of G. Furthermore, we present a general method to prove homological stability for groups acting strongly transitively on weak spherical buildings. We use this method to prove strong homological stability results for special linear groups over infinite fields and for unitary groups over division rings, improving the previously best known results in many cases. Finally, we give a new construction method for buildings of types A2 and C2 with cocompact lattices in their automorphism groups, yielding very explicit presentations of the lattices as well as very explicit descriptions of the buildings. To the author's knowledge, these are the first known presentations of lattices in buildings of type C2.
Book Synopsis Lie Groups, Lie Algebras, and Representations by : Brian Hall
Download or read book Lie Groups, Lie Algebras, and Representations written by Brian Hall and published by Springer. This book was released on 2015-05-11 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject. In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including: a treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C) an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincaré–Birkhoff–Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula. Review of the first edition: This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an important addition to the textbook literature ... it is highly recommended. — The Mathematical Gazette
Book Synopsis Infinite Group Theory: From The Past To The Future by : Paul Baginski
Download or read book Infinite Group Theory: From The Past To The Future written by Paul Baginski and published by World Scientific. This book was released on 2017-12-26 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of papers detailing areas of current interest.
