Affine geometric crystals and limit of perfect crystals

DOI10.1090/S0002-9947-08-04341-9zbMath1219.17010arXivmath/0512657OpenAlexW1966777672MaRDI QIDQ3508034

Masato Okado, Masaki Kashiwara, Toshiki Nakashima

Publication date: 27 June 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512657

zbMATH Keywords

fundamental representationaffine Lie algebracrystalLanglands dual

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Grassmannians, Schubert varieties, flag manifolds (14M15) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

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Cites Work

• Geometric crystals on Schubert varieties
• Perfect crystals of quantum affine Lie algebras
• Crystals for Demazure modules of classical affine Lie algebras
• On level-zero representation of quantized affine algebras.
• Kac-Moody groups, their flag varieties and representation theory
• Level zero fundamental representations over quantized affine algebras and Demazure modules
• Geometric crystals on unipotent groups and generalized Young tableaux
• AFFINE CRYSTALS AND VERTEX MODELS
• Infinite flag varieties and conjugacy theorems
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