Ultra-discretization of the \(D_4^{(3)}\)-geometric crystal to the \(G_2^{(1)}\)-perfect crystals

DOI10.2140/pjm.2012.255.117zbMath1248.17010arXiv1003.1242OpenAlexW2072330400WikidataQ57433566 ScholiaQ57433566MaRDI QIDQ411910

Mana Igarashi, Toshiki Nakashima, Kailash C. Misra

Publication date: 2 May 2012

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.1242

zbMATH Keywords

geometric crystalsperfect crystalsultra-discretization

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)

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

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