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Verma modules and the existence of quasi-invariant differential operators

Part of the Lecture Notes in Mathematics book series (LNM,volume 466)

Keywords

  • Differential Operator
  • Weight Vector
  • Parabolic Subgroup
  • Adjoint Representation
  • Wave Operator

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References

  1. J. Dixmier, Algèbres Enveloppantes, Gauthier-Villars, Paris, 1974.

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  2. I.N. Bernstein, I.M. Gelfand, and S.I. Gelfand, Structure of representations generated by highest weight vectors, Funct. Anal., i evo prilogenie, 5, 1971, 1–9.

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  3. D.N. Verma, Structure of certain reduced representations of complex semi-simple Lie algebras, Bull. Amer. Math. Soc., 74, 1968, 160–166, 628.

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  4. D. Zhelobenko, The analysis of irreducibility in the class of elementary representations of a complex semi-simple Lie group, Izv. Akad. Nau., SSSR, Ser. Mat., 1968, 108–133.

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© 1975 Springer-Verlag

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Kostant, B. (1975). Verma modules and the existence of quasi-invariant differential operators. In: Carmona, J., Dixmier, J., Vergne, M. (eds) Non-Commutative Harmonic Analysis. Lecture Notes in Mathematics, vol 466. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082201

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  • DOI: https://doi.org/10.1007/BFb0082201

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07183-9

  • Online ISBN: 978-3-540-37524-1

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