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Categories with Projective Functors
Author(s) -
Khomenko Oleksandr
Publication year - 2005
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/s0024611504015114
Subject(s) - mathematics , functor , pure mathematics , adjoint functors , projective test , representation theory , functor category , ext functor , algebra over a field , natural transformation
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. 2000 Mathematics Subject Classification 17B10.