An equivalence of two categories of \(\text{sl}(n,\mathbb{C})\)-modules

DOI10.1023/A:1016531419024zbMath1010.16006OpenAlexW1492784833MaRDI QIDQ698062

Volodymyr Mazorchuk, Steffen Koenig

Publication date: 18 September 2002

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1016531419024

zbMATH Keywords

Verma modulesAbelian categoriescategory \(\mathcal O\)equivalences of categoriesexact endofunctorstranslation functorsfinite-dimensional modulescomplex finite-dimensional semi-simple Lie algebrasEnright completion functorsGelfand-Zetlin modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Module categories in associative algebras (16D90) Universal enveloping (super)algebras (17B35)

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