The Hard Lefschetz Theorem in positive characteristic for the Flag Varieties

Abstract

For a given flag variety, we characterize the primes $p$ for which there exists a weight $\lambda$ such that the Hard Lefschetz Theorem holds for multiplication by $\lambda$ on the cohomology of the flag variety with coefficients in an infinite field of characteristic $p$.

16 pages

References in corpus (2)

• Schubert calculus and torsion explosion
• Algebraic representations and constructible sheaves