n-ary Lie and Associative Algebras
Abstract
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- January 1998
- DOI:
- 10.48550/arXiv.math/9801087
- arXiv:
- arXiv:math/9801087
- Bibcode:
- 1998math......1087M
- Keywords:
-
- Quantum Algebra;
- 08A62;
- 16B99;
- 17B99
- E-Print:
- 18 pages, AmSTeX