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Lectures on Algebraic Categorification

Mazorchuk, Volodymyr,

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Lectures on Algebraic Categorification

Record Type:	Electronic resources : Monograph/item
Title/Author:	Lectures on Algebraic Categorification/ Volodymyr Mazorchuk
Author:	Mazorchuk, Volodymyr,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2012,
Description:	1 online resource (128 pages)
Subject:	Algebra - Congresses. -
Online resource:	https://doi.org/10.4171/108
Online resource:	https://www.ems-ph.org/img/books/mazorchuk_mini.jpg
ISBN:	9783037196083

Lectures on Algebraic Categorification
Mazorchuk, Volodymyr,

Lectures on Algebraic Categorification[electronic resource] /Volodymyr Mazorchuk - Zuerich, Switzerland :European Mathematical Society Publishing House,2012 - 1 online resource (128 pages) - The QGM Master Class Series (QGM).

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

The term "categorification" was introduced by Louis Crane in 1995 and refers to the process of replacing set-theoretic notions by the corresponding category-theoretic analogues. This text mostly concentrates on algebraical aspects of the theory, presented in the historical perspective, but also contains several topological applications, in particular, an algebraic (or, more precisely, representation-theoretical) approach to categorification. It consists of fifteen sections corresponding to fifteen one-hour lectures given during a Master Class at Aarhus University, Denmark in October 2010. There are some exercises collected at the end of the text and a rather extensive list of references. Video recordings of all (but one) lectures are available from the Master Class website. The book provides an introductory overview of the subject rather than a fully detailed monograph. Emphasis is on definitions, examples and formulations of the results. Most proofs are either briefly outlined or omitted. However, complete proofs can be found by tracking references. It is assumed that the reader is familiar with the basics of category theory, representation theory, topology and Lie algebra.

ISBN: 9783037196083

Standard No.: 10.4171/108doiSubjects--Topical Terms:

1533629
Algebra
--Congresses.

Lectures on Algebraic Categorification
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