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arXiv · 1701.08377

Generalized Weyl modules and Demazure submodules of level-zero extremal weight modules

Fumihiko Nomoto
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Abstract

We study a relationship between the graded characters of generalized Weyl modules $W_{w λ}$, $w \in W$, over the positive part of the affine Lie algebra and those of specific quotients $V_{w}^- (λ) / X_{w}^- (λ)$, $w \in W$, of the Demazure submodules $V_{w}^- (λ)$ of the extremal weight modules $V(λ)$ over the quantum affine algebra, where $W$ is the finite Weyl group and $λ$ is a dominant weight. More precisely, we prove that a specific quotient of the Demazure submodule is a quantum analog of a generalized Weyl module.

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Fumihiko Nomoto. 2018-02-08. Generalized Weyl modules and Demazure submodules of level-zero extremal weight modules. https://arxiv.org/abs/1701.08377

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