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W2057835281 abstract "Young tableaux and Young walls are combinatorial schemes realizing the irreducible highest weight crystal B ( λ ) . We modify the notions of Young tableau and Young wall to give a realization of the crystal B ( ∞ ) . For the case A n ( 1 ) , the limit B ∞ of a coherent family of perfect crystals B l is realized as the classical crystal of the set of equivalence classes of slices and the crystal B ( ∞ ) is realized as the affine crystal consisting of reduced Young walls, which, in turn, are concatenations of slices. We also give a new realization of the same crystal over special linear Lie algebra, in the language of Young tableau." @default.
W2057835281 created "2016-06-24" @default.
W2057835281 creator A5028150859 @default.
W2057835281 date "2007-02-01" @default.
W2057835281 modified "2023-10-14" @default.
W2057835281 title "Realizations of crystal <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:mi mathvariant=script>B</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mo>∞</mml:mo><mml:mo stretchy=false>)</mml:mo></mml:math> using Young tableaux and Young walls" @default.
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W2057835281 doi "https://doi.org/10.1016/j.jalgebra.2006.05.015" @default.
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