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Hopfological algebra

Part of: Commutative algebra: Homological methods Hopf algebras, quantum groups and related topics

Published online by Cambridge University Press:  07 October 2013

You Qi
You Qi*
Affiliation:
Department of Mathematics, Columbia University, Room 509, MC 4406 2990 Broadway, NY 10027, USA email yq2121@math.columbia.edu
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Abstract

We develop some basic homological theory of hopfological algebra as defined by Khovanov [Hopfological algebra and categorification at a root of unity: the first steps, Preprint (2006), arXiv:math/0509083v2]. Several properties in hopfological algebra analogous to those of usual homological theory of DG algebras are obtained.

Keywords

Hopfological algebrap-DG algebracategorificationroots of unity

MSC classification

Secondary: 13D09: Derived categories 13D15: Grothendieck groups, $K$-theory 16T05: Hopf algebras and their applications

Information

Type
Research Article
Information
Compositio Mathematica , Volume 150 , Issue 1 , January 2014 , pp. 1 - 45
Copyright
© The Author(s) 2013 

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