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Categories with Projective Functors
Authors:Khomenko  Oleksandr
Institution:Mathematisches Institut der Universität Freiburg Eckestrasse 1, D–79104, Freiburg im Breisgau, Germany. E-mail: Oleksandr.Khomenko{at}math.uni-freiburg.de
Abstract:We introduce a notion of a category with full projective functors.It encodes certain common properties of categories appearingin representation theory of Lie groups, Lie algebras and quantumgroups. We describe the left or right exact functors which naturallycommute with projective functors and provide a unified approachto the verification of relations between such functors. 2000Mathematics Subject Classification 17B10.
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