Eigenvalues of Casimir operators for $gl(m/\infty)$
Gould, M. D. ; Stoilova, N. I.
arXiv, 9709033 / Harvested from arXiv
Text on arXiv
A full set of Casimir operators for the Lie superalgebra $gl(m/\infty)$ is constructed and shown to be well defined in the category $O_{FS}$ 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 $gl(m/\infty)$ are also determined.
Publié le : 1997-09-24
Classification:  Mathematical Physics,  High Energy Physics - Theory 
@article{9709033,
     author = {Gould, M. D. and Stoilova, N. I.},
     title = {Eigenvalues of Casimir operators for $gl(m/\infty)$},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9709033}
}

Gould, M. D.; Stoilova, N. I. Eigenvalues of Casimir operators for $gl(m/\infty)$. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9709033/