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Research Article

Whittaker vectors in singular Whittaker modules

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Pages 4268-4271 | Received 24 Oct 2023, Accepted 27 Mar 2024, Published online: 02 May 2024

References

  • Block, R. (1981). The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra. Adv. Math.39:69–110.
  • Kostant, B. (1978). On Whittaker vectors and representation theory. Invent. Math. 48:101–184. DOI: 10.1007/BF01390249.
  • Kostant, B. (1979). The solution to a generalized Toda lattice and representation theory. Adv. Math. 34:195–338. DOI: 10.1016/0001-8708(79)90057-4.
  • McDowell, E. (1985). On modules induced from Whittaker modules. J. Algebra 96:161–177. DOI: 10.1016/0021-8693(85)90044-4.
  • Miličić, D., Soergel, W. (1997). The composition series of modules induced from Whittaker modules. Comment. Math. Helv. 72:503–520. DOI: 10.1007/s000140050031.
  • Premet, A. (2002). Special transverse slices and their enveloping algebras. Adv. Math. 170:1–55. DOI: 10.1006/aima.2001.2063.
  • Skryabin, S. A category equivalence. Appendix to [6].

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