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.AT2018
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…
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…