Article ID Journal Published Year Pages File Type
4582455 Expositiones Mathematicae 2011 16 Pages PDF
Abstract

The Euler–Poincaré 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 can 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.

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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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