Titlebook: Symmetries, Integrable Systems and Representations; Kenji Iohara,Sophie Morier-Genoud,Bertrand Rémy Conference proceedings 2013 Springer-V

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Words, Automata and Lie Theory for Tilings,We will give a new relationship between several simple automata and formal power series as word invariants. Such an invariant is derived from certain combinatorics and algebraic structures. We review them, and especially we deal with a connection to Lie theory via through tilings.

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Toward Berenstein-Zelevinsky Data in Affine Type ,, Part III: Proof of the Connectedness,We prove the connectedness of the crystal ., which we introduced in Contemp. Math. 565, 143–184 (.).