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On the Gel'fand-Kirillov conjecture

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Abstract

In this paper we exhibit a simple counterexample to the Gel'fand-Kirillov conjecture on the structure of the quotient field of every algebraic Lie algebra over a commutative field of characteristic zero.

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References

  1. Gel'fand, I.M., Kirillov, A.A.: I.H.E.S. Publications mathématiques31, 5–19 (1966)

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  2. Gel'fand, I.M., Kirillov, A.A.: Funkcional'nyj Analiz, 7–26 (1969)

  3. Joseph, A.: Proc. Amer. Math. Soc.45, 1–10 (1974)

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Authors and Affiliations

  1. Departamento de Física Teórica, Universidad, Complutense de Madrid, Madrid, Spain

    L. Abellanas & L. Martinez Alonso

Authors
  1. L. Abellanas
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  2. L. Martinez Alonso
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Communicated by H. Araki

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Abellanas, L., Alonso, L.M. On the Gel'fand-Kirillov conjecture. Commun.Math. Phys. 43, 69–71 (1975). https://doi.org/10.1007/BF01609142

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  • DOI: https://doi.org/10.1007/BF01609142

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