Projective and Whittaker functors on category O Academic Article

abstract

  • 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 Miličić'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.

publication date

  • 2021-5-15

edition

  • 574

number of pages

  • 18

start page

  • 154

end page

  • 171