2 citations · 4 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
A correspondence between boundary coefficients of real flag manifolds and height of roots
Jordan Lambert, Lonardo Rabelo
In this paper we prove a new formula for the coefficients of the cellular homology of real flag manifolds in terms of the height of certain roots. In particular, for flag manifolds…
Cellular Homology of Real Flag Manifolds
Lonardo Rabelo, Luiz Antonio Barrera San Martin
Let be a generalized flag manifold, where is a real noncompact semi-simple Lie group and a parabolic subgroup. A classical result says the Schu…
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…
Integral homology of real isotropic and odd orthogonal Grassmannians
Jordan Lambert, Lonardo Rabelo
We obtain a combinatorial expression for the coefficients of the boundary map of real isotropic and odd orthogonal Grassmannians providing a natural generalization of the formulas…