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A correspondence between boundary coefficients of real flag manifolds and height of roots
Published 10 Sep 2020 in math.AT | (2009.05114v1)
Abstract: 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 of type A, we get a very simple formula for these coefficients and an explicit expression for the first and second homology groups with integer coefficients.
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