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Group Representations: Cohomology, Group Actions and Topology

1998 Mathematics
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Release : 1998
Genre : Mathematics
Kind : eBook
Book Rating : 580/5 ( reviews)

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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. This book was released on 1998. 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.

Group Representations

1997 Electronic books
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Release : 1997
Genre : Electronic books
Kind : eBook
Book Rating : 678/5 ( reviews)

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Book Synopsis Group Representations by : Alejandro Adem

Download or read book Group Representations written by Alejandro Adem. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt:

Group Actions on Manifolds

1985 Mathematics
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Release : 1985
Genre : Mathematics
Kind : eBook
Book Rating : 385/5 ( reviews)

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Book Synopsis Group Actions on Manifolds by : Reinhard Schultz

Download or read book Group Actions on Manifolds written by Reinhard Schultz. This book was released on 1985. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Cohomology of Finite Groups

2013-06-29 Mathematics
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Release : 2013-06-29
Genre : Mathematics
Kind : eBook
Book Rating : 828/5 ( reviews)

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Book Synopsis Cohomology of Finite Groups by : Alejandro Adem

Download or read book Cohomology of Finite Groups written by Alejandro Adem. This book was released on 2013-06-29. 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.

Hamiltonian Group Actions and Equivariant Cohomology

2019-09-23 Mathematics
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Release : 2019-09-23
Genre : Mathematics
Kind : eBook
Book Rating : 273/5 ( reviews)

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Book Synopsis Hamiltonian Group Actions and Equivariant Cohomology by : Shubham Dwivedi

Download or read book Hamiltonian Group Actions and Equivariant Cohomology written by Shubham Dwivedi. This book was released on 2019-09-23. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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