The Cohomology for the Nil Radical of a Complex Semisimple Lie Algebra
Description:
Let g be a complex semisimple Lie algebra, Vλ an irreducible g-module with high weight λ, pI a standard parabolic subalgebra of g with Levi factor £I and nil radical nI, and H*(nI, Vλ) the cohomology group of Λn'I ⊗Vλ. We describe the decomposition of H*(nI, Vλ) into irreducible £1-modules.
Date:
May 1994
Creator:
Sawyer, Cameron C. (Cameron Cunningham)