Characteristic identities for Lie (super)algebras
arXiv:1412.6852 · doi:10.1088/1742-6596/597/1/012045
Abstract
We present an overview of characteristic identities for Lie algebras and superalgebras. We outline methods that employ these characteristic identities to deduce matrix elements of finite dimensional representations. To demonstrate the theory, we look at the examples of the general linear Lie algebras and Lie superalgebras.
10 pages, contribution to the 30th International Colloquium on Group Theoretical Methods in Physics (Group30) in Ghent, Belgium. Journal of Physics: Conference Series (to appear)