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- W1989998312 abstract "We consider a category of $gl_infty$-crystals, whose objects are disjoint unions of extremal weight crystals of non-negative level with certain finite conditions on the multiplicity of connected components. We show that it is a monoidal category under tensor product of crystals and the associated Grothendieck ring is anti-isomorphic to an Ore extension of the character ring of integrable lowest weight $gl_infty$-modules with respect to derivations shifting the characters of fundamental modules. A Littlewood-Richardson rule of extremal weight crystals with non-negative level is described explicitly in terms of classical Littlewood-Richardson coefficients." @default.
- W1989998312 created "2016-06-24" @default.
- W1989998312 creator A5089994472 @default.
- W1989998312 date "2009-09-07" @default.
- W1989998312 modified "2023-09-27" @default.
- W1989998312 title "Crystal duality and Littlewood-Richardson rule of extremal weight crystals" @default.
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