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

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

1994-07-21

arxiv.org/abs/hep-th/9407135v1

Lett.Math.Phys. 33 (1995) 263-272

Physics

High Energy Physics

High Energy Physics - Theory

10 pages in plain LaTex

Scientific paper

10.1007/BF00749628

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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