%0 Journal Article
%T How Euler would compute the Euler-Poincar¨¦ characteristic of a Lie superalgebra
%A Pasha Zusmanovich
%J Mathematics
%D 2008
%I arXiv
%R 10.1016/j.exmath.2011.06.002
%X The Euler-Poincar\'e characteristic of a finite-dimensional Lie algebra vanishes. If we want to extend this result to Lie superalgebras, we should deal with infinite sums. We observe that a suitable method of summation, which goes back to Euler, allows to do that, to a certain degree. The mathematics behind it is simple, we just glue the pieces of elementary homological algebra, first-year calculus and pedestrian combinatorics together, and present them in a (hopefully) coherent manner.
%U http://arxiv.org/abs/0812.2255v3