Quantum N-toroidal algebras and extended quantized GIM algebras of N-fold affinization
Quantum Algebra
2025-03-03 v5
Abstract
We introduce the notion of quantum -toroidal algebras as natural generalization of the quantum toroidal algebras as well as extended quantized GIM algebras of -fold affinization. We show that the quantum -toroidal algebras are quotients of the extended quantized GIM algebras of -fold affinization, which generalizes a well-known result of Berman and Moody for Lie algebras.
Keywords
Cite
@article{arxiv.1907.06301,
title = {Quantum N-toroidal algebras and extended quantized GIM algebras of N-fold affinization},
author = {Yun Gao and Naihuan Jing and Limeng Xia and Honglian Zhang},
journal= {arXiv preprint arXiv:1907.06301},
year = {2025}
}
Comments
35 pages, 18 figures