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arXiv:1609.01166 [math.AG]AbstractReferencesReviewsResources

On toric degenerations of flag varieties

Xin Fang, Ghislain Fourier, Peter Littelmann

Published 2016-09-05Version 1

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.

Comments: 49 pages including index, to appear in the review volume on the Research Priority Programme SPP 1388 "Representation theory"
Categories: math.AG, math.CO, math.RT
Subjects: 14M17, 14M15, 14M25, 52B20
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