78 citations · 125 across the 47 of their papers we have counts for
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q-alg1997
Polyhedral Realizations of Crystal Bases for Quantized Kac-Moody Algebras
Toshiki Nakashima, Andrei Zelevinsky
Let B(\infty) be the crystal corresponding to the nilpotent part of a quantized Kac-Moody algebra. We suggest a general way to represent B(\infty) as the set of integer solutions o…
q-alg1995★ 1 cited
Crystallized Peter-Weyl type decomposition for level 0 part of modified quantum algebra
Toshiki Nakashima
We shall give some criteria for the existence of the Peter-Weyl type decomposition for modified quantum algebra, which is motivated by the fact that modified quantum algebra has co…
q-alg1995★ 2 cited
Crystallized structure for level 0 part of modified quantum affine algebra
Toshiki Nakashima
Crystal base of the level 0 part of the modified quantum affine algebra is given by path. Weyl group actions, extremal vectors and crystal struct…