Invariants of Lie algebras extended over commutative algebras without unit
Rings and Algebras
2018-05-02 v3 K-Theory and Homology
Abstract
We establish results about the second cohomology with coefficients in the trivial module, symmetric invariant bilinear forms and derivations of a Lie algebra extended over a commutative associative algebra without unit. These results provide a simple unified approach to a number of questions treated earlier in completely separated ways: periodization of semisimple Lie algebras (Anna Larsson), derivation algebras, with prescribed semisimple part, of nilpotent Lie algebras (Benoist), and presentations of affine Kac-Moody algebras.
Keywords
Cite
@article{arxiv.0901.1395,
title = {Invariants of Lie algebras extended over commutative algebras without unit},
author = {Pasha Zusmanovich},
journal= {arXiv preprint arXiv:0901.1395},
year = {2018}
}
Comments
v3: added a footnote on p.10 about a wrong derivation of the correct statement