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

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.

10 pages, TeX

References in corpus (1)

• Eigenvalus of Casimir Invariants for Type-I Quantum Superalgebras

Cited by in corpus (1)

• Solutions to the Yang-Baxter Equation and Casimir Invariants for the Quantised Orthosymplectic Superalgebra