Integration on Lie supergroups. A Hopf superalgebra approach
Rings and Algebras
2007-05-23 v1
Abstract
For a large class of finite-dimensional Lie superalgebras (including the classical simple ones) a Lie supergroup associated to the algebra is defined by fixing the Hopf superalgebra of functions on the supergroup. Then it is shown that on this Hopf superalgebra there exists a non-zero left integral. According to a recent work by the authors, this integral is unique up to scalar multiples.
Cite
@article{arxiv.math/0012052,
title = {Integration on Lie supergroups. A Hopf superalgebra approach},
author = {M. Scheunert and R. B. Zhang},
journal= {arXiv preprint arXiv:math/0012052},
year = {2007}
}
Comments
17 pages, no figures, Latex2e, uses package amssymb