Cells in quantum affine slₙ
McGerty, Kevin
Original · EN
We study Lusztig's theory of cells for quantum affine slₙ. Using the geometric construction of the quantum group due to Lusztig and Ginzburg--Vasserot, we describe explicitly the two-sided cells, the number of left cells in a two--sided cell, and the asymptotic algebra, verifying conjectures of Lusztig.
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