Eigenvalues of Casimir operators for $gl(m/\infty)$
数学物理
2008-11-26 v1 高能物理 - 理论
math.MP
摘要
A full set of Casimir operators for the Lie superalgebra is constructed and shown to be well defined in the category generated by the highest weight irreducible representations with only a finite number of non-zero weight components. The eigenvalues of these Casimir operators are determined explicitly in terms of the highest weight. Characteristic identities satisfied by certain (infinite) matrices with entries from are also determined.
引用
@article{arxiv.physics/9709033,
title = {Eigenvalues of Casimir operators for $gl(m/\infty)$},
author = {M. D. Gould and N. I. Stoilova},
journal= {arXiv preprint arXiv:physics/9709033},
year = {2008}
}
备注
10 pages, TeX