Schur Positivity and Kirillov-Reshetikhin Modules
Copyright policy )Schur Positivity and Kirillov-Reshetikhin Modules
In this note, inspired by the proof of the Kirillov-Reshetikhin conjecture, we consider tensor products of Kirillov-Reshetikhin modules of a fixed node and various level. We fix a positive integer and attach to each of its partitions such a tensor product. We show that there exists an embedding of the tensor products, with respect to the classical structure, along with the reverse dominance relation on the set of partitions.
- Institut de Mathématiques de Jussieu France
- University of Glasgow United Kingdom
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Symmetric functions and generalizations, Quantum groups (quantized enveloping algebras) and related deformations, Schur positivity, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, \(Q\)-systems, Kirillov-Reshetikhin modules, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), 17B10, 17B37, 05E05, Representation Theory (math.RT), Mathematics - Representation Theory
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Symmetric functions and generalizations, Quantum groups (quantized enveloping algebras) and related deformations, Schur positivity, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, \(Q\)-systems, Kirillov-Reshetikhin modules, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), 17B10, 17B37, 05E05, Representation Theory (math.RT), Mathematics - Representation Theory
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