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

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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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iii, 47 leaves

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Sawyer, Cameron C. (Cameron Cunningham) May 1994.

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  • Sawyer, Cameron C. (Cameron Cunningham)

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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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iii, 47 leaves

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  • May 1994

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  • March 9, 2015, 8:15 a.m.

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  • Sept. 27, 2018, 11:21 a.m.

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Sawyer, Cameron C. (Cameron Cunningham). The Cohomology for the Nil Radical of a Complex Semisimple Lie Algebra, thesis, May 1994; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc501116/: accessed October 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .