Gradedness of the set of rook placements in An−1

A rook placement is a subset of a root system consisting of positive roots with pairwise non-positive inner products. To each rook placement in a root system one can assign the coadjoint orbit of the Borel subgroup of a reductive algebraic group with this root system. Degenerations of such orbits in...

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Bibliographic Details
Main Author: Ignatev Mikhail V.
Format: Article
Language:English
Published: Sciendo 2021-06-01
Series:Communications in Mathematics
Subjects:
Online Access:https://doi.org/10.2478/cm-2021-0016