Crystal duality and Littlewood–Richardson rule of extremal weight crystals
نویسندگان
چکیده
منابع مشابه
Crystal Duality and Littlewood-richardson Rule of Extremal Weight Crystals
We consider a category of gl∞-crystals, whose object is a disjoint union of extremal weight crystals with bounded non-negative level and finite multiplicity for each connected component. We show that it is a monoidal category under tensor product of crystals and the associated Grothendieck ring is antiisomorphic to an Ore extension of the character ring of integrable lowest gl∞modules with resp...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2011
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2011.04.010