Generating functions for permutations which contain a given descent set.
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Generating functions for Wilf equivalence under generalized factor order.
Langley, Thomas, Liese, Jeffrey, Remmel, Jeffrey (2011)
Journal of Integer Sequences [electronic only]
Gradedness of the set of rook placements in
Mikhail V. Ignatev (2021)
Communications in Mathematics
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 with respect to a slightly different order and prove that this poset is...
Currently displaying 1 – 3 of 3
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