Asymptotic Representations of Quantum Affine Superalgebras
Copyright policy )Asymptotic Representations of Quantum Affine Superalgebras
We study representations of the quantum affine superalgebra associated with a general linear Lie superalgebra. In the spirit of Hernandez-Jimbo, we construct inductive systems of Kirillov-Reshetikhin modules based on a cyclicity result that we established previously on tensor products of these modules, and realize their inductive limits as modules over its Borel subalgebra, the so-called q-Yangian. A new generic asymptotic limit of the same inductive systems is proposed, resulting in modules over the full quantum affine superalgebra. We derive generalized Baxter's relations in the sense of Frenkel-Hernandez for representations of the full quantum group.
Symmetry Integrability and Geometry: Methods and Applications, 13
ISSN:1815-0659
- ETH Zurich Switzerland
- ETH-Zurich Switzerland
Baxter operators, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), superalgebras, Superalgebras, quantum groups, Asymptotic representations, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, Mathematical Physics (math-ph), Quantum groups, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Quantum groups; Superalgebras; Asymptotic representations; Baxter operators, Representation Theory (math.RT), Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematical Physics, Mathematics - Representation Theory, asymptotic representations
Baxter operators, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), superalgebras, Superalgebras, quantum groups, Asymptotic representations, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, Mathematical Physics (math-ph), Quantum groups, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Quantum groups; Superalgebras; Asymptotic representations; Baxter operators, Representation Theory (math.RT), Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematical Physics, Mathematics - Representation Theory, asymptotic representations
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