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math.QA1998★ 4 cited
An Algebraic Characterization of the Affine Canonical Basis
Jonathan Beck, Vyjayanthi Chari, Andrew Pressley
The canonical basis for quantized universal enveloping algebras associated to the finite--dimensional simple Lie algebras, was introduced by Lusztig. The principal technique is the…
math.QA1998
Canonical Basis and Macdonald Polynomials
Jonathan Beck, Igor Frenkel, Naihuan Jing
In the basic representation of realized via the algebra of symmetric functions we compare the canonical basis with the basis of Macdonald polynomials with $q=t^2…