Cotangent Bundle to the Flag Variety - I

Cotangent Bundle to the Flag Variety - I

We show that there is a \({SL_n}\)-stable closed subset of an affine Schubert variety in the infinite dimensional Flag variety (associated to the Kac-Moody group \({\widehat{SL_n}}\)) which is a natural compactification of the cotangent bundle to the finite-dimensional Flag variety \({{SL_n/B}}\).

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Veröffentlicht in:arXiv.org 2016-10
Hauptverfasser: Lakshmibai, V, Seshadri, C S, Singh, R
Format: Artikel
Sprache:eng
Schlagworte:
Dimensional stability
Flags
Mathematics - Algebraic Geometry
Mathematics - Group Theory
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Zusammenfassung:We show that there is a \({SL_n}\)-stable closed subset of an affine Schubert variety in the infinite dimensional Flag variety (associated to the Kac-Moody group \({\widehat{SL_n}}\)) which is a natural compactification of the cotangent bundle to the finite-dimensional Flag variety \({{SL_n/B}}\).
ISSN:2331-8422
DOI:10.48550/arxiv.1609.09551