Applications of the category of linear complexes of tilting modules associated with the category O

Details Applications of the category of linear complexes of tilting modules associated with the category O Applications of the category of linear complexes of tilting modules associated with the category O

2005-01-14

arxiv.org/abs/math/0501220v1

Algebr. Represent. Theory 12 (2009), no. 6, 489-512

Mathematics

Representation Theory

27 pages

Scientific paper

We use the category of linear complexes of tilting modules for the BGG
category O, associated with a semi-simple complex finite-dimensional Lie
algebra g, to reprove in purely algebraic way several known results about O
obtained earlier by different authors using geometric methods. We also obtain
several new results about the parabolic category O.

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