2016/03/01 by Jens Niklas Eberhardt, Eberhardt, Jens Niklas
Mathematics · #17B10 #22E46 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.1603.00327
openalex publication_date 2016/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that the parabolic induction functor on BGG-category O associated to a complex reductive Lie algebra is gradable, that is, lifts to graded category O as constructed by Beilinson-Ginzburg-Soergel. Graded category O is equivalent to a category of stratified mixed Tate motives on a corresponding flag variety as recently defined by Soergel-Wendt. The graded version of parabolic induction is induced by a geometric parabolic induction functor we construct on the level of stratified mixed Tate motives. We also describe the effect of parabolic induction on the level of Soergel modules.