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Journal of Geometry and Physics
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Preprint . 2003
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Journal of Geometry and Physics
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Geometric crystals on Schubert varieties

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Feb 2005Embargo end date: 01 Jan 2003 English Publisher:Elsevier BVJournal:Journal of Geometry and Physics, volume 53, pages 197-225 (issn: 0393-0440, Copyright policy )
Authors: Nakashima, Toshiki;

doi: 10.1016/j.geomphys.2004.06.004 , 10.48550/arxiv.math/0303087

arXiv: math/0303087

Geometric crystals on Schubert varieties

Abstract

We define geometric crystals and unipotent crystals for arbitrary Kac-Moody groups and describe geometric and unipotent crystal structures on the Schubert varieties.

25 pages

Related Organizations
Keywords

tropicalization, Infinite-dimensional Lie groups and their Lie algebras: general properties, Schubert varieties, Grassmannians, Schubert varieties, flag manifolds, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, ultra-discretization, Mathematics - Quantum Algebra, crystals, FOS: Mathematics, Quantum Algebra (math.QA), Kac-Moody groups, Representation Theory (math.RT), geometric crystals, Mathematics - Representation Theory

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 18
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
18
Top 10%
Top 10%
Average
Green
bronze