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Path Model for a Level Zero Extremal Weight Module over a Quantum Affine Algebra

Satoshi Naito·Daisuke Sagaki
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Abstract

We give a path model for a level zero extremal weight module over a quantum affine algebra. By using this result, we prove a branching rule for an extremal weight module with respect to a Levi subalgebra. Furthermore, we also show a decomposition rule of Littelmann type for the concatenation of path models for an integrable highest weight module and a level zero extremal weight module in the case where the extremal weight is minuscule.

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Satoshi Naito, Daisuke Sagaki. 2002-11-06. Path Model for a Level Zero Extremal Weight Module over a Quantum Affine Algebra. https://arxiv.org/abs/math/0210450

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