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math.CO2022
The Bruhat Order on Symmetric Groups via Intrinsic Coverings of Compositions
Jordan Lambert, Lonardo Rabelo
Lehmer's code defines a bijection between the symmetric group and the set of staircase compositions. In this paper, we characterize a poset structure on these compositions that is…
math.CO2018
Theta-vexillary signed permutations
Jordan Lambert
Theta-vexillary signed permutations are elements in the hyperoctahedral group that index certain classes of degeneracy loci of type B and C. These permutations are described using…
math.CO2018★ 2 cited
Covering relations of k-Grassmannian permutations of type B
Jordan Lambert, Lonardo Rabelo
The main result of this work is the characterization of the covering relations of the Bruhat order of the maximal parabolic quotients of type B. Our approach is mainly combinatoria…