Eigenvalues of Casimir operators for gl(m/∞)
M. D. Gould, N. I. Stoilova
Abstract
A full set of Casimir operators for the Lie superalgebra gl(m/∞) is constructed and shown to be well defined in the category OFS 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/∞) are also determined.
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