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Verma modules and the existence of quasi-invariant differential operators

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Non-Commutative Harmonic Analysis

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

This paper is partially supported by Grant No. P28969 of the National Science Foundation.

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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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Authors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, 02139, Cambridge, Massachusetts, USA

    Bertram Kostant

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  1. Bertram Kostant
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Jacques Carmona Jaques Dixmier Michèle Vergne

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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

  • eBook Packages: Springer Book Archive

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