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arXiv · 1407.5015

The symplectic plactic monoid, crystals, and MV cycles

Jacinta Torres
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Abstract

We study cells in generalised Bott-Samelson varieties for type C. These cells are parametrised by certain galleries in the affine building. We define a set of readable galleries - we show that the closure in the affine Grassmannian associated to a gallery in this set is an MV cycle. This then defines a map from the set of readable galeries to the set of MV cycles, which we show to be a morphism of crystals. We further compute the fibres of this map in terms of the Littelmann path model.

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BibTeXRIS

Jacinta Torres. 2015-09-16. The symplectic plactic monoid, crystals, and MV cycles. https://doi.org/10.2140/pjm.2017.286.439

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