The multigraded Nijenhuis-Richardson Algebra, its universal property and application
Quantum Algebra
2009-09-25 v1
Abstract
We define two graded Lie brackets on spaces of multilinear mappings. The first one is able to recognize -graded associative algebras and their modules and gives immediately the correct differential for Hochschild cohomology. The second one recognizes -graded Lie algebra structures and their modules and gives rise to the notion of Chevalley cohomology.
Keywords
Cite
@article{arxiv.math/9201257,
title = {The multigraded Nijenhuis-Richardson Algebra, its universal property and application},
author = {Pierre Lecomte and Peter W. Michor and Hubert Schicketanz},
journal= {arXiv preprint arXiv:math/9201257},
year = {2009}
}