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math.RT2003★ 17 cited
From double affine Hecke algebras to quantized affine Schur algebras
Michela Varagnolo, Eric Vasserot
We prove that the double affine Hecke algebra of type A is Morita equivalent to the quantized affine Schur algebra.
math.RT2002
Periodic modules and quantum groups
Michela Varagnolo
We prove that the elements defined by Lusztig in a completion of the periodic module actually live in the periodic module, in the type A case. In order to prove this, we c…
math.RT2001
Canonical bases and quiver varieties
M. Varagnolo, E. Vasserot
We prove the existence of canonical bases in the K-theory of quiver varieties. This existence was conjectured by Lusztig.