Is there a vector house whose size is the golden ratio? in fact not--the golden ratio isn't really an integer! yet this may take place for generalizations of vector spaces--objects of a tensor classification. the speculation of tensor different types is a comparatively new box of arithmetic that generalizes the idea of workforce representations. It has deep connections with many different fields, together with illustration thought, Hopf algebras, operator algebras, low-dimensional topology (in specific, knot theory), homotopy conception, quantum mechanics and box idea, quantum computation, idea of reasons, and so forth. This ebook offers a scientific advent to this concept and a assessment of its functions. whereas giving an in depth assessment of normal tensor different types, it focuses specially at the concept of finite tensor different types and fusion different types (in specific, braided and modular ones), and discusses the most effects approximately them with proofs. specifically, it exhibits how the most houses of finite-dimensional Hopf algebras might be derived from the idea of tensor different types. Many vital effects are provided as a series of workouts, which makes the publication helpful for college kids and compatible for graduate classes. Many purposes, connections to different parts, extra effects, and references are mentioned on the finish of every bankruptcy.

Best Algebraic Geometry books

Flips for 3-folds and 4-folds (Oxford Lecture Series in Mathematics and Its Applications)

This edited number of chapters, authored through prime specialists, presents a whole and basically self-contained building of 3-fold and 4-fold klt flips. a wide a part of the textual content is a digest of Shokurov's paintings within the box and a concise, whole and pedagogical facts of the lifestyles of 3-fold flips is gifted.

An Introduction to Algebraic Geometry and Algebraic Groups (Oxford Graduate Texts in Mathematics)

An obtainable textual content introducing algebraic geometries and algebraic teams at complex undergraduate and early graduate point, this e-book develops the language of algebraic geometry from scratch and makes use of it to establish the idea of affine algebraic teams from first ideas. development at the heritage fabric from algebraic geometry and algebraic teams, the textual content presents an advent to extra complex and specialized fabric.

Algebraic Geometry (Graduate Texts in Mathematics)

Notice: merchandise do have huge Margins. An advent to summary algebraic geometry, with the single necessities being effects from commutative algebra, that are said as wanted, and a few ordinary topology. greater than four hundred routines allotted during the ebook supply particular examples in addition to extra specialized issues no longer taken care of usually textual content, whereas 3 appendices current short money owed of a few components of present study.

Extra info for Tensor Categories (Mathematical Surveys and Monographs)

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