On toric degenerations of flag varieties
Algebraic Geometry
2016-09-06 v1 Combinatorics
Representation Theory
Abstract
Following the historical track in pursuing -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.
Keywords
Cite
@article{arxiv.1609.01166,
title = {On toric degenerations of flag varieties},
author = {Xin Fang and Ghislain Fourier and Peter Littelmann},
journal= {arXiv preprint arXiv:1609.01166},
year = {2016}
}
Comments
49 pages including index, to appear in the review volume on the Research Priority Programme SPP 1388 "Representation theory"