On the second cohomology groups of exceptional Lie algebras in positive characteristic

Abstract

The second cohomology groups of exceptional Lie algebras E_n (n = 6, 7, 8), F₄, G₂ over an algebraically closed field of characteristic p ≥ h + 5 with coefficients in modules, dual to Weyl modules, are explicitly described. Here h is the Coxeter number.