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Toric degenerations of Schubert varieties

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Abstract

LetG be a simply connected semisimple complex algebraic group. We prove that every Schubert variety ofG has a flat degeneration into a toric variety. This provides a generalization of results of [9], [7], [6]. Our basic tool is Lusztig's canonical basis and the string parametrization of this basis.

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Authors and Affiliations

  1. Institut Girard Desargues, Université Claude Bernard-Lyon 1, 69622, Villeurbanne cedex, France

    Philippe Caldero

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  1. Philippe Caldero
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Supported in part by the EC TMR network “Algebraic Lie Representations”, contract No. ERB FMTX-CT97-0100.

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Caldero, P. Toric degenerations of Schubert varieties. Transformation Groups 7, 51–60 (2002). https://doi.org/10.1007/BF01253464

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  • DOI: https://doi.org/10.1007/BF01253464

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