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

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

1997-09-24

arxiv.org/abs/physics/9709033v1

J.Phys.A32:391-399,1999

Physics

Mathematical Physics

10 pages, TeX

Scientific paper

10.1088/0305-4470/32/2/012

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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