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Analytic continuation of group representations. IV

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Abstract

The main problem, deforming a subalgebra of a Lie algebra, is treated algebraically, requiring an extensive development of methods of defining multiplications on Lie algebra cohomology cochains. Some applications to differential geometry are also presented.

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References

  1. Helgason, S.: Differential geometry and symmetric spaces. New York: Academic Press 1962.

    Google Scholar 

  2. Hermann, R.: Analytic continuation of group representations, Commun. Math. Phys. Part I,2, 251–270 (1966); Part II,3, 53–74 (1966); Part III,3, 75–91 (1966).

    Google Scholar 

  3. Kodaira, K.: A theorem of completeness of characteristic systems for analytic families of compact submanifolds of complex manifolds. Ann. Math.75, 146–162 (1962).

    Google Scholar 

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

    Google Scholar 

  5. -- -- Deformation of homomorphisms of Lie groups and Lie algebras. To appear, Bull. Am. Math. Soc.

  6. -- -- Deformation of Lie algebra structure. To appear.

  7. Page, S., andR. Richardson: Stable subalgebras of Lie and associative algebras. To appear, Trans. Am. Math. Soc.

  8. Piper, S.: Deformations of algebras. Ph. D. thesis, Stanford, 1966.

  9. Richardson, R.: A rigidity theorem for subalgebras of Lie and associative algebras. To appear, Illinois J. Math.

  10. -- Deformation of subalgebras of Lie algebras. To appear.

  11. Spencer, D. C.: Deformation of structure, on manifolds defined by transitive continuous pseudogroups. Ann. Math.75, 306–445 (1962).

    Google Scholar 

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Work supported by the U.S. Atomic Energy Commission.

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Hermann, R. Analytic continuation of group representations. IV. Commun.Math. Phys. 5, 131–156 (1967). https://doi.org/10.1007/BF01646842

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