Cohomological Tensor Functors on Representations of the General Linear Supergroup, R. Weissauer, Thorsten Heidersdorf

Автор: Nicola Gambino, Andre Joyal
Название: On Operads, Bimodules and Analytic Functors
ISBN: 1470425769 ISBN-13(EAN): 9781470425760
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: Develops the theory of operads and analytic functors. In particular, the authors introduce the bicategory $\operatorname{OpdBim}_{\mathcal{V}}$ of operad bimodules, that has operads as $0$-cells, operad bimodules as $1$-cells and operad bimodule maps as 2-cells, and prove that it is cartesian closed.

Автор: Kropholler Peter
Название: Geometric and Cohomological Group Theory
ISBN: 131662322X ISBN-13(EAN): 9781316623220
Издательство: Cambridge Academ
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Цена: 62310.00 T
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Описание: This volume summarizes exciting recent developments in geometric and cohomological group theory. It contains research articles and surveys that demonstrate connections with topology, analysis, algebra and logic. The book is an excellent entry point for new researchers and a useful reference work for experts.

Автор: Bruzzo Ugo, Otero Beatriz Grana
Название: Derived Functors And Sheaf Cohomology
ISBN: 9811207283 ISBN-13(EAN): 9789811207280
Издательство: World Scientific Publishing
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Цена: 84480.00 T
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The aim of the book is to present a precise and comprehensive introduction to the basic theory of derived functors, with an emphasis on sheaf cohomology and spectral sequences. It keeps the treatment as simple as possible, aiming at the same time to provide a number of examples, mainly from sheaf theory, and also from algebra.

The first part of the book provides the foundational material: Chapter 1 deals with category theory and homological algebra. Chapter 2 is devoted to the development of the theory of derived functors, based on the notion of injective object. In particular, the universal properties of derived functors are stressed, with a view to make the proofs in the following chapters as simple and natural as possible. Chapter 3 provides a rather thorough introduction to sheaves, in a general topological setting. Chapter 4 introduces sheaf cohomology as a derived functor, and, after also defining Čech cohomology, develops a careful comparison between the two cohomologies which is a detailed analysis not easily available in the literature. This comparison is made using general, universal properties of derived functors. This chapter also establishes the relations with the de Rham and Dolbeault cohomologies. Chapter 5 offers a friendly approach to the rather intricate theory of spectral sequences by means of the theory of derived triangles, which is precise and relatively easy to grasp. It also includes several examples of specific spectral sequences. Readers will find exercises throughout the text, with additional exercises included at the end of each chapter.