Ultra-Discretization of the affine G_2 Geometric Crystals to Perfect Crystals

DOI10.1007/978-0-8176-4697-4_11zbMath1259.17016arXiv0712.3894OpenAlexW44388665MaRDI QIDQ3015536

Toshiki Nakashima

Publication date: 13 July 2011

Published in: Representation Theory of Algebraic Groups and Quantum Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.3894

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (4)

Ultra-discretization of 𝐷₆⁽¹⁾- geometric crystal at the spin node ⋮ Affine geometric crystal of \(A_n^{(1)}\) and limit of Kirillov-Reshetikhin perfect crystals ⋮ D5(1)-Geometric crystal corresponding to the Dynkin spin node i = 5 and its ultra-discretization ⋮ $A^{(1)}_{n}$ -Geometric Crystal Corresponding to Dynkin Index i=2 and Its Ultra-Discretization

Cites Work

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• Geometric crystals on Schubert varieties
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• Perfect crystals of \(U_q(G_2^{(1)})\)
• 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
• Perfect crystals for \(U_q(D_4^{(3)})\)
• Geometric crystals on unipotent groups and generalized Young tableaux
• Affine geometric crystals and limit of perfect crystals
• AFFINE CRYSTALS AND VERTEX MODELS
• Infinite flag varieties and conjugacy theorems

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