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Categories with projective functors

Published online by Cambridge University Press:  22 April 2005

Oleksandr Khomenko
Oleksandr Khomenko
Affiliation:
Mathematisches Institut der Universität Freiburg, Eckestrasse 1, D–79104, Freiburg im Breisgau, Germany. E-mail: Oleksandr.Khomenko@math.uni-freiburg.de
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Abstract

We introduce a notion of a category with full projective functors. It encodes certain common properties of categories appearing in representation theory of Lie groups, Lie algebras and quantum groups. We describe the left or right exact functors which naturally commute with projective functors and provide a unified approach to the verification of relations between such functors.

Keywords

17B10
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 90 , Issue 3 , May 2005 , pp. 711 - 737
Copyright
2005 London Mathematical Society

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Footnotes

This research was supported by DFG project ‘Projektive Funktoren und Hecke Algebra’.