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Lectures on Tensor Categories and Modular Functors

This book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category;

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Categories and Sheaves

beyond. The authors present the general theory of categories and functors, emphasizing inductive and projective limits, tensor categories;

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Dualizable Tensor Categories

"We investigate the relationship between the algebra of tensor categories and the topology of framed 3-manifolds. On the one hand, tensor;

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Tensor Categories

of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and;

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Lectures on Functor Homology

and new methods for tackling difficult mathematical problems. In the lectures by Aurelien Djament, polynomial functors appear as;

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Representations of Algebras

of commutative algebraic groups, modular group representation theory, and thick tensor ideals of bounded derived categories. Other articles represent;

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Categories For The Working Mathematician

of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the;

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Tensor Categories and Hopf Algebras

This volume contains the proceedings of the scientific session ``Hopf Algebras and Tensor Categories'', held from July 27-28, 2017, at the;

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2-Dimensional Categories

bicategories, the Gray tensor product, and double categories. Completely detailed proofs of several fundamental but hard-to-find results are presented;

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2-Dimensional Categories

bicategories, the Gray tensor product, and double categories. Completely detailed proofs of several fundamental but hard-to-find results are presented;

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Vertex Algebras and Geometry

and tensor categories, with topics in vertex rings, chiral algebroids, the Higgs branch conjecture, and applicability and use of vertex tensor;

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Differential Tensor Algebras and Their Module Categories

This volume provides a systematic presentation of the theory of differential tensor algebras and their categories of modules. It involves;

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A Functorial Model Theory

This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and;

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A Functorial Model Theory

This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and;

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Modules and Rings

This book on modern and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject;

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Modules and Rings

This book on modern and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject;

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God's Ultimate Task

applications are manifold. This approach to it is based on the systematic use of the language and ideas of derived categories and derived functors.;

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Course In Modern Algebra

the terminology of categories and functors. The first two chapters present the necessary material on set theory, group theory, and the tensor;

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Homotopy Limit Functors on Model Categories and Homotopical Categories

categories. A model category is a category together with three distinguished classes of maps, called weak equivalences, cofibrations, and fibrations;

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Soul Powerful

applications are manifold. This approach to it is based on the systematic use of the language and ideas of derived categories and derived functors.;

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Cohomology and Differential Forms

This monograph explores the cohomological theory of manifolds with various sheaves and its application to differential geometry. Based on;

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Methods of Homological Algebra

This modern approach to homological algebra by two leading writers in the field is based on the systematic use of the language and ideas;

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The 1-2-3 of Modular Forms

This book grew out of three series of lectures given at the summer school on Modular Forms and their Applications at the Sophus Lie;

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Introduction to Homological Algebra, 85

integrals and independence of path, categories and functors, tensor products, and singular homology. Succeeding chapters discuss Hom and;

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Representations Of Algebras

papers on the representation type of local rings of singularities, and on recent results in the modular representation theory of finite groups;

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Modular Forms on Schiermonnikoog

Netherlands. A broad range of topics is covered including Hilbert and Siegel modular forms, Weil representations, Tannakian categories and Torelli's;

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Modular Theory in Operator Algebras

The first edition of this book appeared in 1981 as a direct continuation of Lectures of von Neumann Algebras (by S.V. Stratila and L. Zsido;

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