Rook placements in $A_n$ and combinatorics of $B$-orbit closures

zbMath1316.05019arXiv1310.3164MaRDI QIDQ5176130

Mikhail V. Ignatyev, Anton S. Vasyukhin

Publication date: 2 March 2015

Full work available at URL: https://arxiv.org/abs/1310.3164

zbMATH Keywords

polarizationroot systemcoadjoint orbitsBorel subgrouprook placements

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Orthogonal arrays, Latin squares, Room squares (05B15) Nilpotent and solvable Lie groups (22E25) Root systems (17B22)

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On Involutions in the Weyl Group and B-Orbit Closures in the Orthogonal Case ⋮ Gradedness of the set of rook placements in \(A_{n -1}\)

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