Modular perverse sheaves on flag varieties III: positivity conditions

Pramod N. Achar (1) , Simon Riche (2, 3)

1 LSU Mathematics - Department of Mathematics [Baton Rouge]
2 LMBP - Laboratoire de Mathématiques Blaise Pascal
3 INSMI-CNRS - Institut National des Sciences Mathématiques et de leurs Interactions - CNRS Mathématiques

We further develop the general theory of the "mixed modular derived category" introduced by the authors in a previous paper in this series. We then use it to study positivity and Q-Koszulity phenomena on flag varieties.

Domaines: Théorie des représentations [math.RT]

Pramod N. Achar, Simon Riche. Modular perverse sheaves on flag varieties III: positivity conditions. Transactions of the American Mathematical Society, 2018, 370, pp.447-485. ⟨hal-01059854⟩