The Quantum Super Yangian and Casimir Operators of Uq(gl(M|N))
Abstract
The quantum super Yangian Yq(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 Z2 graded associative algebra epimorphism Yq(gl(M|N))--> Uq(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 Uq(gl(M|N)) constructed in an earlier publication.
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