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Geometric Crystals on Schubert Varieties

2003/03/07 by Toshiki Nakashima, Nakashima, Toshiki
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Computer science #Crystal (programming language) #FOS: Mathematics #Mathematics #Pure mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Schubert variety #Unipotent #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.math/0303087

25 pages

arxiv created 2003/03/07 · openalex publication_date 2003/03/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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

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