Mathematics – Quantum Algebra
Scientific paper
1998-01-19
Rend. Sem. Mat. Univ. Pol. Torino, 53, 4 (1996), 373-392
Mathematics
Quantum Algebra
18 pages, AmSTeX
Scientific paper
With the help of the multigraded Nijenhuis-- Richardson bracket and the
multigraded Gerstenhaber bracket from [7] for every $n\ge 2$ we define $n$-ary
associative algebras and their modules and also $n$-ary Lie algebras and their
modules, and we give the relevant formulas for Hochschild and Chevalley
cohomogy.
Michor Peter W.
Vinogradov Alexandre M.
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