2 citations · 4 across the 7 of their papers we have counts for
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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…
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…
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…