On the Kostant section and the universal centralizer in positive characteristic and over the integers

Simon Riche (1, 2)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal
2 INSMI-CNRS - Institut National des Sciences Mathématiques et de leurs Interactions - CNRS Mathématiques

In this paper we prove analogues of fundamental results of Kostant on the universal centralizer of a connected reductive algebraic group for alge-braically closed fields of positive characteristic (with mild assumptions). We also extend some of these results to integral coefficients.

Domaines: Mathématiques [math]

Simon Riche. On the Kostant section and the universal centralizer in positive characteristic and over the integers. 2014. ⟨hal-01081988v1⟩