A compendium of Lie structures on tensor products
Rings and Algebras
2014-08-14 v2 K-Theory and Homology
Abstract
We demonstrate how a simple linear-algebraic technique used earlier to compute low-degree cohomology of current Lie algebras, can be utilized to compute other kinds of structures on such Lie algebras, and discuss further generalizations, applications, and related questions. While doing so, we touch upon such seemingly diverse topics as associative algebras of infinite representation type, Hom-Lie structures, Poisson brackets of hydrodynamic type, Novikov algebras, simple Lie algebras in small characteristics, and Koszul dual operads.
Cite
@article{arxiv.1303.3231,
title = {A compendium of Lie structures on tensor products},
author = {Pasha Zusmanovich},
journal= {arXiv preprint arXiv:1303.3231},
year = {2014}
}
Comments
v.2: fixed minor typos