10.2478/cm-2021-0016
https://cm.episciences.org/9535
Ignatev, Mikhail V.
Mikhail V.
Ignatev
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 induce a natural partial order on the set of rook placements. We study combinatorial structure of the set of rook placements in An− 1 with respect to a slightly different order and prove that this poset is graded.
episciences.org
General Mathematics
[MATH]Mathematics [math]
Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
2023-04-01
2021-07-15
2021-07-15
en
journal article
https://hal.science/hal-03665022v1
2336-1298
https://cm.episciences.org/9535/pdf
VoR
application/pdf
Communications in Mathematics
Volume 29 (2021), Issue 2 (Special Issue: 3rd International Workshop on Nonassociative Algebras in Málaga)
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