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On the interplay of the parametrizations of canonical bases by Lusztig and string data

Published 11 Jan 2019 in math.RT, math.CO, and math.QA | (1901.03500v1)

Abstract: For arbitrary reduced words we give formulas for the crystal structures on string and Lusztig data of type A as well as the defining inequalities of the corresponding polytopes revealing certain dualities between them.

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