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.CO2025
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.AT2024
On the computation of homology of type A real flag manifolds
Jordan Lambert, Lonardo Rabelo
In this paper, we present a closed, computable formula for the cellular homology coefficients of real flag manifolds associated with split real forms of type A. We demonstrate the…