Su alcune algebre caratteristiche nella teoria dei getti

Summary N. Teleman’s definition of ? characteristic algebra of a Lie algebra extension ? is applied to two classical exact sequences of the theory of the jets, which are of interest in the theory of higher order connections. In the first case, the resulting characteristic algebras are shown to coincide with the ordinary characteristic algebras of the bundles (with connected structure group) of higher order frames on a manifold, and not to depend on the order of the jets. For the second case, the characteristic algebras are proved to be alwaysℝ.

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Entrata in Redazione il 17 marzo 1976.

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Lavoro eseguito nell’ambito del Gruppo di Ricerca del C.N.R. ? Strutture algebriche e geometriche ?.