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The restriction of Whittaker modules to certain parabolic subalgebras


Author: Nolan R. Wallach
Journal: Proc. Amer. Math. Soc. 81 (1981), 181-188
MSC: Primary 17B35; Secondary 22E47
DOI: https://doi.org/10.1090/S0002-9939-1981-0593452-6
MathSciNet review: 593452
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Abstract: Certain twisted cohomology spaces of modules for the standard maximal parabolic subalgebra of $ \mathfrak{s}\mathfrak{l}(n,{\mathbf{C}})$ are studied. These results are shown to imply new proofs of results of Kostant on Whittaker modules in the special case of real forms of products of $ \mathfrak{s}\mathfrak{l}(n,{\mathbf{C}})$'s.


References [Enhancements On Off] (What's this?)

  • [1] J. Dixmier, Enveloping algebras, North-Holland, Amsterdam and New York, 1977. MR 0498740 (58:16803b)
  • [2] R. Goodman and N. R. Wallach, Conical vectors and Whittaker vectors, J. Functional Anal. (to appear).
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DOI: https://doi.org/10.1090/S0002-9939-1981-0593452-6
Article copyright: © Copyright 1981 American Mathematical Society

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