Lecture, Colloque Trajectorien, Strasbourg-Obernai, France 12-16 June 1995.
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Assume that the isotropy Lie algebras g of a transitive Lie algebroid A fulfil the condition
H p(g) = 0 for 1 £ p £ n –1, n = dim g,
then the Gysin sequence of A is given. For details and applications see [37].