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arXiv · hep-th/9407135

The Quantum Super Yangian and Casimir Operators of $U_q(gl(M|N))$

R. B. Zhang
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Abstract

The quantum super Yangian $Y_q(gl(M|N))$ associated with the Perk - Schultz solution of the Yang - Baxter equation is introduced. Its structural properties are investigated, in particular, an extensive study of its central algebra is carried out. A $Z_2$ graded associative algebra epimorphism $Y_q(gl(M|N))--> U_q(gl(M|N))$ is established and constructed explicitly. Images of the central elements of the quantum super Yangian under this epimorphism yield the Casimir operators of the quantum supergroup $U_q(gl(M|N))$ constructed in an earlier publication.

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R. B. Zhang. 1994-07-21. The Quantum Super Yangian and Casimir Operators of $U_q(gl(M|N))$. https://doi.org/10.1007/bf00749628

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