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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.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc501116
Date05 1900
CreatorsSawyer, Cameron C. (Cameron Cunningham)
ContributorsDouglass, J. Matthew, Hill, Greg (Gregory M.), Kallman, Robert R.
PublisherUniversity of North Texas
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
Formatiii, 47 leaves, Text
RightsPublic, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Sawyer, Cameron C. (Cameron Cunningham)

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