A note on Hecke patterns in Category O

Abstract

We study the family of derived auto-equivalences of the BGG-category O that correspond to the action of the standard generators of the Hecke algebra. Both the non-graded and graded situations are considered.

20 pages, some typos in previous version fixed, proof of Thm. 9.6 expanded, acknowledgments added, all comments welcome

References in corpus (3)

• Categorification of the braid groups
• Andersen Filtration and Hard Lefschetz
• A remark on some bases in the Hecke algebra

Cited by in corpus (1)

• A remark on some bases in the Hecke algebra