Box ball system associated with antisymmetric tensor crystals

DOI10.1088/0305-4470/37/42/010zbMath1067.81058arXivmath/0312461OpenAlexW1997831039MaRDI QIDQ4662134

Daisuke Yamada

Publication date: 30 March 2005

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312461

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Groups and algebras in quantum theory and relations with integrable systems (81R12)

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Scattering rule in soliton cellular automaton associated with crystal base of Uq(D4(3)) ⋮ Uniform description of the rigged configuration bijection ⋮ Soliton cellular automata for the affine general linear Lie superalgebra ⋮ A crystal to rigged configuration bijection and the filling map for type \(D_4^{(3)}\) ⋮ A uniform approach to soliton cellular automata using rigged configurations ⋮ Soliton cellular automaton associated with $D_n^{(1)}$Dn(1)-crystal B2,s ⋮ Rigged configuration bijection and proof of the \(X = M\) conjecture for nonexceptional affine types

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