Casimir eigenvalues for universal Lie algebra
Representation Theory
2015-05-28 v3
Abstract
For two different natural definitions of Casimir operators for simple Lie algebras we show that their eigenvalues in the adjoint representation can be expressed polynomially in the universal Vogel's parameters and give explicit formulae for the generating functions of these eigenvalues.
Cite
@article{arxiv.1105.0115,
title = {Casimir eigenvalues for universal Lie algebra},
author = {R. L. Mkrtchyan and A. N. Sergeev and A. P. Veselov},
journal= {arXiv preprint arXiv:1105.0115},
year = {2015}
}
Comments
Slightly revised version