A correspondence between boundary coefficients of real flag manifolds and height of roots

A correspondence between boundary coefficients of real flag manifolds and height of roots

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 homo...

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Veröffentlicht in:arXiv.org 2020-09
Hauptverfasser: Lambert, Jordan, Lonardo Rabelo
Format: Artikel
Sprache:eng
Schlagworte:
Coefficients
Flags
Homology
Manifolds
Roots
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Zusammenfassung: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.
ISSN:2331-8422