Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4582455 | Expositiones Mathematicae | 2011 | 16 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Pasha Zusmanovich,