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Eigenvalues of Casimir operators for $gl(m/\infty)$

M. D. Gould·N. I. Stoilova
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Abstract

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.

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BibTeXRIS

M. D. Gould, N. I. Stoilova. 1997-09-24. Eigenvalues of Casimir operators for $gl(m/\infty)$. https://doi.org/10.1088/0305-4470%2F32%2F2%2F012

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