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arXiv · 1901.03500

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

Volker Genz·Gleb Koshevoy·Bea Schumann
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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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