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math.QA2000
On irreducibility of tensor products of Yangian modules associated with skew Young diagrams
Maxim Nazarov, Vitaly Tarasov
We study the tensor product of any number of "elementary" irreducible modules over the Yangian of the general linear Lie algebra. Each of these modules is determi…
math.QA2000
Induced representations of affine Hecke algebras and canonical bases of quantum groups
Bernard Leclerc, Maxim Nazarov, Jean-Yves Thibon
A criterion of irreducibility for induction products of evaluation modules of type A affine Hecke algebras is given. It is derived from multiplicative properties of the canonical b…