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arXiv · 1609.01166

On toric degenerations of flag varieties

Xin Fang·Ghislain Fourier·Peter Littelmann
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Abstract

Following the historical track in pursuing $T$-equivariant flat toric degenerations of flag varieties and spherical varieties, we explain how powerful tools in algebraic geometry and representation theory, such as canonical bases, Newton-Okounkov bodies, PBW-filtrations and cluster algebras come to push the subject forward.

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Xin Fang, Ghislain Fourier, Peter Littelmann. 2016-09-05. On toric degenerations of flag varieties. https://arxiv.org/abs/1609.01166

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