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- W2067206076 abstract "A full set of (higher-order) Casimir invariants for the Lie algebra gl(∞) is constructed and shown to be well defined in the category OFS generated by the highest weight (unitarizable) irreducible representations with only a finite number of nonzero weight components. Moreover, the eigenvalues of these Casimir invariants are determined explicitly in terms of the highest weight. Characteristic identities satisfied by certain (infinite) matrices with entries from gl(∞) are also determined and generalize those previously obtained for gl(n) by Bracken and Green [A. J. Bracken and H. S. Green, J. Math. Phys. 12, 2099 (1971); H. S. Green, ibid. 12, 2106 (1971)]." @default.
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- W2067206076 title "Casimir invariants and characteristic identities for gl(∞)" @default.
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- W2067206076 doi "https://doi.org/10.1063/1.532123" @default.
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