Group Representations Cohomology Group Actions And Topology

Author : Alejandro Adem,Representations Summer Research Institute on Cohomology
Publisher : American Mathematical Soc.
Page : 549 pages
File Size : 43,7 Mb
Release : 1998
Category : Finite groups
ISBN : 9780821806586

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Group Representations: Cohomology, Group Actions and Topology by Alejandro Adem,Representations Summer Research Institute on Cohomology Pdf

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.

Author : Alejandro Adem
Publisher : Unknown
Page : 548 pages
File Size : 48,8 Mb
Release : 1997
Category : Electronic books
ISBN : 082189367X

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Group Representations by Alejandro Adem Pdf

Author : Representations Summer Research Institute on Cohomology (and Actions of Finite Groups (1996 : University of Washington, Seattle))
Publisher : Unknown
Page : 532 pages
File Size : 48,7 Mb
Release : 1997
Category : Finite groups
ISBN : 0821806580

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Group Representations by Representations Summer Research Institute on Cohomology (and Actions of Finite Groups (1996 : University of Washington, Seattle)) Pdf

Author : Alejandro Adem,R.James Milgram
Publisher : Springer Science & Business Media
Page : 333 pages
File Size : 44,5 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662062821

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Cohomology of Finite Groups by Alejandro Adem,R.James Milgram Pdf

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 : Reinhard Schultz
Publisher : American Mathematical Soc.
Page : 586 pages
File Size : 48,9 Mb
Release : 1985
Category : Mathematics
ISBN : 9780821850381

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Group Actions on Manifolds by Reinhard Schultz Pdf

Presents an understanding of the sorts of problems one studies in group actions and the methods used to study such problems. This book features articles based upon lectures at the 1983 AMS-IMS-SIAM Joint Summer Research Conference, Group Actions on Manifolds, held at the University of Colorado.

Author : Shubham Dwivedi,Jonathan Herman,Lisa C. Jeffrey,Theo van den Hurk
Publisher : Springer Nature
Page : 132 pages
File Size : 50,6 Mb
Release : 2019-09-23
Category : Mathematics
ISBN : 9783030272272

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Hamiltonian Group Actions and Equivariant Cohomology by Shubham Dwivedi,Jonathan Herman,Lisa C. Jeffrey,Theo van den Hurk Pdf

This monograph could be used for a graduate course on symplectic geometry as well as for independent study. The monograph starts with an introduction of symplectic vector spaces, followed by symplectic manifolds and then Hamiltonian group actions and the Darboux theorem. After discussing moment maps and orbits of the coadjoint action, symplectic quotients are studied. The convexity theorem and toric manifolds come next and we give a comprehensive treatment of Equivariant cohomology. The monograph also contains detailed treatment of the Duistermaat-Heckman Theorem, geometric quantization, and flat connections on 2-manifolds. Finally, there is an appendix which provides background material on Lie groups. A course on differential topology is an essential prerequisite for this course. Some of the later material will be more accessible to readers who have had a basic course on algebraic topology. For some of the later chapters, it would be helpful to have some background on representation theory and complex geometry.

Author : T. Tom Dieck
Publisher : Springer
Page : 317 pages
File Size : 48,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540385172

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Transformation Groups and Representation Theory by T. Tom Dieck Pdf

Author : Michael W. Davis,James Fowler,Jean-François Lafont,Ian J. Leary
Publisher : Springer
Page : 174 pages
File Size : 41,9 Mb
Release : 2016-09-14
Category : Mathematics
ISBN : 9783319436746

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Topology and Geometric Group Theory by Michael W. Davis,James Fowler,Jean-François Lafont,Ian J. Leary Pdf

This book presents articles at the interface of two active areas of research: classical topology and the relatively new field of geometric group theory. It includes two long survey articles, one on proofs of the Farrell–Jones conjectures, and the other on ends of spaces and groups. In 2010–2011, Ohio State University (OSU) hosted a special year in topology and geometric group theory. Over the course of the year, there were seminars, workshops, short weekend conferences, and a major conference out of which this book resulted. Four other research articles complement these surveys, making this book ideal for graduate students and established mathematicians interested in entering this area of research.

Author : M. Hazewinkel
Publisher : Elsevier
Page : 896 pages
File Size : 45,7 Mb
Release : 2000-04-06
Category : Mathematics
ISBN : 0080532969

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Handbook of Algebra by M. Hazewinkel Pdf

Handbook of Algebra

Author : Will Chambers
Publisher : Scientific e-Resources
Page : 284 pages
File Size : 48,8 Mb
Release : 2018-11-22
Category : Electronic
ISBN : 9781839473364

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Topology by Will Chambers Pdf

The book's principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure. This book was written to be a readable introduction to algebraic topology with rather broad coverage of the subject. The viewpoint is quite classical in spirit, and stays well within the confines of pure algebraic topology. Topology developed as a field of study out of geometry and set theory, through analysis of concepts such as space, dimension, and transformation. Such ideas go back to Gottfried Leibniz, who in the 17th century envisioned the geometria situs and analysis situs. Leonhard Euler's Seven Bridges of Koenigsberg Problem and Polyhedron Formula are arguably the field's first theorems. The term topology was introduced by Johann Benedict Listing in the 19th century, although it was not until the first decades of the 20th century that the idea of a topological space was developed. By the middle of the 20th century, topology had become a major branch of mathematics. The motivating insight behind topology is that some geometric problems depend not on the exact shape of the objects involved, but rather on the way they are put together. For example, the square and the circle have many properties in common: they are both one dimensional objects (from a topological point of view) and both separate the plane into two parts, the part inside and the part outside.

Author : Robert J Zimmer
Publisher : University of Chicago Press
Page : 600 pages
File Size : 40,5 Mb
Release : 2011-04-15
Category : Mathematics
ISBN : 9780226237909

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Geometry, Rigidity, and Group Actions by Robert J Zimmer Pdf

The study of group actions is more than a hundred years old but remains to this day a vibrant and widely studied topic in a variety of mathematic fields. A central development in the last fifty years is the phenomenon of rigidity, whereby one can classify actions of certain groups, such as lattices in semi-simple Lie groups. This provides a way to classify all possible symmetries of important spaces and all spaces admitting given symmetries. Paradigmatic results can be found in the seminal work of George Mostow, Gergory Margulis, and Robert J. Zimmer, among others. The papers in Geometry, Rigidity, and Group Actions explore the role of group actions and rigidity in several areas of mathematics, including ergodic theory, dynamics, geometry, topology, and the algebraic properties of representation varieties. In some cases, the dynamics of the possible group actions are the principal focus of inquiry. In other cases, the dynamics of group actions are a tool for proving theorems about algebra, geometry, or topology. This volume contains surveys of some of the main directions in the field, as well as research articles on topics of current interest.

Author : William G. Dwyer,Hans-Werner Henn
Publisher : Birkhäuser
Page : 106 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034883566

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Homotopy Theoretic Methods in Group Cohomology by William G. Dwyer,Hans-Werner Henn Pdf

This book consists essentially of notes which were written for an Advanced Course on Classifying Spaces and Cohomology of Groups. The course took place at the Centre de Recerca Mathematica (CRM) in Bellaterra from May 27 to June 2, 1998 and was part of an emphasis semester on Algebraic Topology. It consisted of two parallel series of 6 lectures of 90 minutes each and was intended as an introduction to new homotopy theoretic methods in group cohomology. The first part of the book is concerned with methods of decomposing the classifying space of a finite group into pieces made of classifying spaces of appropriate subgroups. Such decompositions have been used with great success in the last 10-15 years in the homotopy theory of classifying spaces of compact Lie groups and p-compact groups in the sense of Dwyer and Wilkerson. For simplicity the emphasis here is on finite groups and on homological properties of various decompositions known as centralizer resp. normalizer resp. subgroup decomposition. A unified treatment of the various decompositions is given and the relations between them are explored. This is preceeded by a detailed discussion of basic notions such as classifying spaces, simplicial complexes and homotopy colimits.

Author : David J. Green
Publisher : Springer
Page : 144 pages
File Size : 46,6 Mb
Release : 2003-12-15
Category : Mathematics
ISBN : 9783540396802

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Gröbner Bases and the Computation of Group Cohomology by David J. Green Pdf

This monograph develops the Gröbner basis methods needed to perform efficient state-of- the-art calculations in the cohomology of finite groups. Results obtained include the first counterexample to the conjecture that the ideal of essential classes squares to zero. The context is J.F. Carlson's minimal resolutions approach to cohomology computations.

Author : Anonim
Publisher : American Mathematical Soc.
Page : 128 pages
File Size : 55,9 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9780821834619

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The $RO(G)$-Graded Equivariant Ordinary Homology of $G$-Cell Complexes with Even-Dimensional Cells for $G=\mathbb {Z}/p$ by Anonim Pdf

Author : David J. Benson,Stephen D. Smith
Publisher : American Mathematical Soc.
Page : 310 pages
File Size : 55,6 Mb
Release : 2008
Category : Mathematics
ISBN : 9780821844748

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Classifying Spaces of Sporadic Groups by David J. Benson,Stephen D. Smith Pdf

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.