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The Cohomology for the Nil Radical of a Complex Semisimple Lie AlgebraSawyer, Cameron C. (Cameron Cunningham) 05 1900 (has links)
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.
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