We deene two (n + 1) graded Lie brackets on spaces of multilinear mappings. The rst one is able to recognize n-graded as-sociative algebras and their modules and gives immediately the correct diierential for Hochschild cohomology. The second one recognizes n-graded Lie algebra structures and their modules and gives rise to the notion of Chevalley cohomology… (More)

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Showing 1-7 of 7 references

Algebraic cohomology and deformation theory, Deformation theory of algebras and structures and applications

M. Gerstenhaber, S. D. Schack

Kluwer Academic Publishers, Dordrecht,

1988

1 Excerpt

Formal deformations of the Poisson Lie algebra of a symplectic manifold and star-products. Existence, equivalence, derivations, Deformation theory of algebras and structures and applications

M. De Wilde, P.B.A. Lecomte

1988

3 Excerpts

Applications of the cohomology of graded Lie algebras to formal deformations of Lie algebras

P.B.A. Lecomte

Letters in Math. Physics

1987

2 Excerpts

Remarks on the Fr olicher-Nijenhuis bracket

P. W. Michor

Proceedings of the Conference on Di erential…

1987

Deformation of Lie algebra structures

A. Nijenhuis, R. Richardson

J. Math. Mech

1967

2 Excerpts

Theory of vector valued di erential forms

A. Fr olicher, A. Nijenhuis

Part I.,

1956

On the deformation of rings and algebras, Ann. of Math