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Analytic continuation of group representations II

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Abstract

The paper deals with the general background connecting the ideas of analytic continuation and contraction of Lie algebras and their representations. A connection is also established between the Kodaira-Spencer deformation theory and the theory of cohomology of Lie algebras.

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References

  1. Hermann, R.: Analytic continuation of group representations, I. Commun. Math. Phys.2, 251–270 (1966).

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  2. -- Differential geometry and the calculus of variation, to appear. New York: Academic Press.

  3. Nijenhuis, A., andR. Richardson: Cohomology and deformations in graded Lie algebras. Bull. Am. Math. Soc.72, 1–29 (1966).

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Authors and Affiliations

  1. Applied Mathematics Division, Argonne National Laboratory, France

    Robert Hermann

Authors
  1. Robert Hermann
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Supported by the Office of Naval Research, NONR 3656(09).

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Hermann, R. Analytic continuation of group representations II. Commun.Math. Phys. 3, 53–74 (1966). https://doi.org/10.1007/BF01645461

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  • DOI: https://doi.org/10.1007/BF01645461

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