Finite dimensional modules over quantum toroidal algebras

doi:10.1007/s11464-020-0846-9

Front. Math. China

2020, Vol. 15

Issue (3) : 593-600 https://doi.org/10.1007/s11464-020-0846-9

RESEARCH ARTICLE

Finite dimensional modules over quantum toroidal algebras

Limeng XIA(

)

Institute of Applied System Analysis, Jiangsu University, Zhenjiang 212013, China

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Abstract

For all generic $q ∈ C *$ , when g is not of type A₁; we prove that the quantum toroidal algebra U_q(g_tor) has no nontrivial finite dimensional simple module.

Keywords Quantum toroidal algebra finite dimensional module

Corresponding Author(s): Limeng XIA

Issue Date: 21 July 2020

Cite this article:

Limeng XIA. Finite dimensional modules over quantum toroidal algebras[J]. Front. Math. China, 2020, 15(3): 593-600.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-020-0846-9
https://academic.hep.com.cn/fmc/EN/Y2020/V15/I3/593

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