The Cohomology for the Nil Radical of a Complex Semisimple Lie Algebra

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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Bibliographic Details
Main Author: Sawyer, Cameron C. (Cameron Cunningham)
Other Authors: Douglass, J. Matthew
Format: Others
Language:English
Published: University of North Texas 1994
Subjects:
Online Access:https://digital.library.unt.edu/ark:/67531/metadc501116/