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The quantum super-Yangian and Casimir operators of Uq(gl(M |N))

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Abstract

TheZ 2 graded Yangian Yq(gl(M |N)) associated with the Perk-SchultzR matrix is introduced. Its structural properties, the central algebra in particular, are studied. AZ 2-graded associative algebra epimorphism Yq(gl(M |N)) → Uq (gl(M |N)) is obtained in explicit form. Images of central elements of the quantum super-Yangian under this epimorphism yield the Casimir operators of the quantum supergroup Uq(gl(M |N)) constructed in an earlier publication.

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  1. Department of Pure Mathematics, University of Adelaide, Adelaide, Australia

    R. B. Zhang

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  1. R. B. Zhang
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Zhang, R.B. The quantum super-Yangian and Casimir operators of Uq(gl(M |N)). Lett Math Phys 33, 263–272 (1995). https://doi.org/10.1007/BF00749628

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  • DOI: https://doi.org/10.1007/BF00749628

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