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arXiv · 1907.06301

Quantum N-toroidal algebras and extended quantized GIM algebras of N-fold affinization

Yun Gao·Naihuan Jing·Limeng Xia·Honglian Zhang
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Abstract

We introduce the notion of quantum $N$-toroidal algebras as natural generalization of the quantum toroidal algebras as well as extended quantized GIM algebras of $N$-fold affinization. We show that the quantum $N$-toroidal algebras are quotients of the extended quantized GIM algebras of $N$-fold affinization, which generalizes a well-known result of Berman and Moody for Lie algebras.

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Yun Gao, Naihuan Jing, Limeng Xia, Honglian Zhang. 2019-07-15. Quantum N-toroidal algebras and extended quantized GIM algebras of N-fold affinization. https://doi.org/10.1007/s40304-022-00316-4

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