Journal
JOURNAL OF ALGEBRA
Volume 574, Issue -, Pages 154-171Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jalgebra.2021.01.024
Keywords
Projective functor; Whittaker functor; Whittaker modules
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Funding
- Estancia posdoctoral Colciencias [convocatoria811 -2018]
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The Whittaker functor in a regular block of the BGG-category O of a semisimple complex Lie algebra can be obtained by composing a translation to the wall functor with the equivalence between the category of Whittaker modules and a singular block of O proposed by Soergel and Milicic. It is shown that the Whittaker functor is a quotient functor that commutes with all projective functors and endomorphisms between them.
We show that the Whittaker functor on a regular block of the BGG-category O of a semisimple complex Lie algebra can be obtained by composing a translation to the wall functor with Soergel and Milicic's equivalence between the category of Whittaker modules and a singular block of O. We show that the Whittaker functor is a quotient functor that commutes with all projective functors and endomorphisms between them. (C) 2021 Elsevier Inc. All rights reserved.
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