dorsal/arxiv
View SchemaThe gl(M|N) Super Yangian and Its Finite Dimensional Representations
| Authors | R. B. Zhang |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9507029 |
| URL | https://arxiv.org/abs/q-alg/9507029 |
| DOI | 10.1007/BF00312673 |
| Journal | Lett.Math.Phys. 37 (1996) 419-434 |
Abstract
Methods are developed for systematically constructing the finite dimensional irreducible representations of the super Yangian Y(gl(M|N)) associated with the Lie superalgebra gl(M|N). It is also shown that every finite dimensional irreducible representation of Y(gl(M|N)) is of highest weight type, and is uniquely characterized by a highest weight. The necessary and sufficient conditions for an irrep to be finite dimensional are given.
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"abstract": "Methods are developed for systematically constructing the finite dimensional\nirreducible representations of the super Yangian Y(gl(M|N)) associated with the\nLie superalgebra gl(M|N). It is also shown that every finite dimensional\nirreducible representation of Y(gl(M|N)) is of highest weight type, and is\nuniquely characterized by a highest weight. The necessary and sufficient\nconditions for an irrep to be finite dimensional are given.",
"arxiv_id": "q-alg/9507029",
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"R. B. Zhang"
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"doi": "10.1007/BF00312673",
"journal_ref": "Lett.Math.Phys. 37 (1996) 419-434",
"title": "The gl(M|N) Super Yangian and Its Finite Dimensional Representations",
"url": "https://arxiv.org/abs/q-alg/9507029"
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