A2 型 Kac-Moody 2 类的评价 2 函数

arXiv - MATH - Quantum Algebra Pub Date : 2024-09-16 DOI:arxiv-2409.10434

Marco Mackaay, James Macpherson, Pedro Vaz

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引用次数: 0

摘要

我们构建了一个从扩展量子仿射 sl(3) 的 Kac-Moody 2 类到量子 gl(3) 的 Kac-Moody 2 类中具有值的有界链复数的同调 2 类的 2 单元，将相应量子 Kac-Moody 代数之间的评价映射归类。

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Evaluation 2-Functors for Kac-Moody 2-Categories of Type A2

We construct a 2-functor from the Kac-Moody 2-category for the extended quantum affine sl(3) to the homotopy 2-category of bounded chain complexes with values in the Kac-Moody 2-category for quantum gl(3), categorifying the evaluation map between the corresponding quantum Kac-Moody algebras.

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arXiv - MATH - Quantum Algebra

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