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

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dc.creatorGould, M. D.
dc.creatorStoilova, N. I.
dc.date1997-09-24
dc.date.accessioned2026-07-07T10:54:55Z
dc.date.available2026-07-07T10:54:55Z
dc.descriptionA 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.
dc.description10 pages, TeX
dc.identifierhttps://arxiv.org/abs/physics/9709033
dc.identifierhttp://arxiv.org/abs/physics/9709033
dc.identifierJ.Phys.A32:391-399,1999
dc.identifierdoi:10.1088/0305-4470/32/2/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185955
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleEigenvalues of Casimir operators for $gl(m/\infty)$
dc.typetext

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