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Rigged configurations for all symmetriza...
Salisbury, Ben...

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Rigged configurations for all symmetrizable types by Salisbury, Ben ( Author )
Lemonjar Open Access
N.A
25-09-2015
In an earlier work, the authors developed a rigged configuration model for the crystal B(∞) (which also descends to a model for irreducible highest weight crystals via a cutting procedure). However, the result obtained was only valid in finite types, affine types, and simply-laced indefinite types. In this paper, we show that the rigged configuration model proposed does indeed hold for all symmetrizable types. As an application, we give an easy combinatorial condition that gives a Littlewood-Richardson rule using rigged configurations which is valid in all symmetrizable Kac-Moody types.
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https://arxiv.org/abs/1509.07833
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