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arXiv · 1901.03500

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

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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Volker Genz, Gleb Koshevoy, Bea Schumann. 2019-01-11. On the interplay of the parametrizations of canonical bases by Lusztig and string data. https://arxiv.org/abs/1901.03500

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