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Contractions: Nijenhuis and Saletan tensors for general algebraic structures
Generalizations in many directions of the contraction procedure for Lie
algebras introduced by E.J.Saletan are proposed. Products of arbitrary nature,
not necessarily Lie brackets, are considered on sections of finite-dimensional
vector bundles. Saletan contractions of such infinite-dimensional algebras are
obtained via a generalization of the Nijenhuis tensor approach. In particular,
this procedure is applied to Lie algebras, Lie algebroids, and Poisson
structures. There are also results on contractions of n-ary products and
coproducts.Comment: 25 pages, LateX, corrected typo
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