An Explicit Construction of Casimir Operators and Eigenvalues:II
数学物理
2009-10-30 v4 alg-geom
高能物理 - 理论
代数几何
math.MP
摘要
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.
引用
@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}
}
备注
16 pages, no figures, TeX file,the formulas (II.14) and (II.15) are corrected, change in e-mail address