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math.QA2004
The Kronecker quiver and bases of quantum affine sl_2
Kevin McGerty
We compare various bases of the affine quantum group $\mathbfU^ (\hat\mathfrak{sl}_2)$ in the context of the Kronecker quiver, and relate them to the Drinfeld presentation.
math.QA2002★ 3 cited
Cells in quantum affine sl_n
Kevin McGerty
We study Lusztig's theory of cells for quantum affine . Using the geometric construction of the quantum group due to Lusztig and Ginzburg--Vasserot, we describe ex…