Categories with projective functors

• Autores: Oleksandr Khomenko
• Localización: Proceedings of the London Mathematical Society, ISSN 0024-6115, Vol. 90, Nº 3, 2005, págs. 711-737
• Idioma: inglés
• DOI: 10.1112/s0024611504015114
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• Resumen

  • 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.