An Explicit Construction of Casimir Operators and Eigenvalues:II
Mathematical Physics
2009-10-30 v4 alg-geom
High Energy Physics - Theory
Algebraic Geometry
math.MP
Abstract
It is given a way of computing Casimir eigenvalues for Weyl orbits as well as for irreducible representations of Lie algebras. A kappa(s) number of polinomials which depend on rank N are obtained explicitly for A_N Casimir operators of order s where kappa(s) is the number of partitions of s into positive integers except 1. It is also emphasized that these eigenvalue polinomials prove useful in obtaining formulas to calculate weight multiplicities and in explicit calculations of the whole cohomology ring of Classical and also Exceptional Lie algebras.
Cite
@article{arxiv.physics/9611002,
title = {An Explicit Construction of Casimir Operators and Eigenvalues:II},
author = {H. R. Karadayi and M. Gungormez},
journal= {arXiv preprint arXiv:physics/9611002},
year = {2009}
}
Comments
16 pages, no figures, TeX file,the formulas (II.14) and (II.15) are corrected, change in e-mail address