ON CLASSIFICATION OF YANGIAN IRREDUCIBLE REPRESENTATIONS OF LIE SUPERALGEBRA SL (1, 2)

Abstract

The classification of Yangian irreducible finite-dimensional representations of Lie superalgebra sl(1,2) – Hopf superalgebra is obtained. The classification is of great use in modern theoretical and mathematical physics. Some feasible applications of this result in mathematical physics are offered.

Keywords

• yangian
• lie superalgebra
• irreducible representation
• module
• hopf superalgebra.