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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.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…