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Deformation Theory of Geometric and Algebraic Structures

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Part of the book series: NATO ASI Series ((ASIC,volume 247))

Abstract

The purpose of this lecture is to solve the conjecture about the existence of a link between the deformation theory of geometric structures (D.C. SPENCER, …) and the deformation theory of algebraic structures (M. GERSTENHABER, …). The original tool, created for this purpose, is called “deformation cohomology” and generalizes, for lie equations, the Chevalley-Eilenberg cohomology for finite dimensional lie algebras.

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Reference

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© 1988 Kluwer Academic Publishers

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Pommaret, J.F. (1988). Deformation Theory of Geometric and Algebraic Structures. In: Hazewinkel, M., Gerstenhaber, M. (eds) Deformation Theory of Algebras and Structures and Applications. NATO ASI Series, vol 247. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3057-5_15

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  • DOI: https://doi.org/10.1007/978-94-009-3057-5_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7875-7

  • Online ISBN: 978-94-009-3057-5

  • eBook Packages: Springer Book Archive

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