North - Holland THE MULTIGRADED NIJENHUIS - RICHARDSON ALGEBRA , ITS UNIVERSAL PROPERTY AND APPLICATIONS
نویسنده
چکیده
We define two (n + 1) graded Lie brackets on spaces of multilinear mappings. The first one is able to recognize n-graded as-sociative algebras and their modules and gives immediately the correct differential for Hochschild cohomology. The second one recognizes n-graded Lie algebra structures and their modules and gives rise to the notion of Chevalley cohomology.
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