3 papers
math.AT2026
Integral Homology and Poincaré Polynomials of classical and exceptional Real Flag Manifolds
Jordan Lambert, Lonardo Rabelo
This paper computes the integral homology of real flag manifolds associated with split real forms of classical and exceptional semisimple Lie algebras. Using the cellular homology…
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
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…