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Type: Journal article
Title: The quantum super-Yangian and Casimir operators of Uq (gl(M|N))
Author: Zhang, R. B.
Citation: Letters in Mathematical Physics, 1995; 33(3):263-272
Publisher: D. Reidel.
Issue Date: 1995
ISSN: 0377-9017
Statement of
R. B. Zhang
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.
DOI: 10.1007/BF00749628
Appears in Collections:Pure Mathematics publications

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