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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 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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Tensor Categories

generalizations of vector spaces-objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes;

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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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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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Tensor Computation for Data Analysis

Tensor is a natural representation for multi-dimensional data, and tensor computation can avoid possible multi-linear data structure loss;

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Categories and Modules with K-Theory in View

text then examines categories of K-theory. This leads to the study of tensor products and the Morita theory. The categorical approach to;

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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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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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Tensor Calculus

Tensor Calculus while presenting the concepts and techniques begins with a brief introduction and history of tensors, followed by the study;

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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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Tensor Numerical Methods in Quantum Chemistry

cannot be eliminated by using parallel architectures and high performance computing. The novel tensor numerical methods are based on a smart;

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Knot Invariants and Higher Representation Theory

-Lauda) categorifying tensor products of irreducible representations. These are the representation categories of certain finite dimensional;

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The Visualization of Second-Order Tensor Fields

of continuous scalar, vector, or second-order tensor fields extending across a n-dimensional space, with n less than 1. While research efforts aimed at;

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Manifolds And Local Structures

bundle of any differentiable manifold. The same holds for tensor calculus.Technically, the goal of this book is to treat these structures as;

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From Vectors to Tensors

This textbook deals with tensors that are treated as vectors. Coverage details such new tensor concepts as the rotation of tensors, the;

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Tensor Numerical Methods in Scientific Computing

The most difficult computational problems nowadays are those of higher dimensions. This research monograph offers an introduction to tensor;

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Tensor Properties of Solids, Part One

Tensor Properties of Solids presents the phenomenological development of solid state properties represented as matter tensors in two parts;

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Tensor Norms And Operator Ideals

The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics. The first may serve as part of an;

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Tensor Algebra and Tensor Analysis for Engineers

This is the fifth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor;

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Elements of Tensor Calculus

on tensor calculus. The two-part treatment offers a rigorous presentation of tensor calculus as a development of vector analysis as well as;

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Tensor Analysis

Tensor calculus is a prerequisite for many tasks in physics and engineering. This book introduces the symbolic and the index notation side;

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Tensor Calculus Made Simple

This book is about tensor analysis. It consists of 169 pages. The language and method used in presenting the ideas and techniques;

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Matrix and Tensor Decompositions in Signal Processing

The second volume will deal with a presentation of the main matrix and tensor decompositions and their properties of uniqueness, as well as;

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Matrix Calculus, Kronecker Product and Tensor Product - A Practical Approach to Linear Algebra, Multilinear Algebra and Tensor Calculus with Software Implementations (3rd Edition)

Our self-contained volume provides an accessible introduction to linear and multilinear algebra as well as tensor calculus. Besides the;

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