Zero action on perfect crystals for \(U_q(G_2^{(1)})\)

DOI10.3842/SIGMA.2010.022zbMath1241.17017arXiv0911.2579WikidataQ57442143 ScholiaQ57442143MaRDI QIDQ970338

Masato Okado, Mahathir Mohamad, Kailash C. Misra

Publication date: 17 May 2010

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.2579

zbMATH Keywords

coherent family, perfect crystalsquantum affine algebra \(U_q(G_2^{(1)})\)

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Connections of Hopf algebras with combinatorics (16T30)

Related Items (5)

Crystal energy functions via the charge in types \(A\) and \(C\) ⋮ A crystal to rigged configuration bijection and the filling map for type \(D_4^{(3)}\) ⋮ On Demazure crystals for $U_{q}(G_{2}^{(1)})$ ⋮ $A^{(1)}_{n}$ -Geometric Crystal Corresponding to Dynkin Index i=2 and Its Ultra-Discretization ⋮ Soliton cellular automaton associated with $G_2^{(1)}$G2(1) crystal base

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