Journal of Lie Theory 30 (2020), No. 3, 837--849
Copyright Heldermann Verlag 2020
Cuspidal Modules for Solenoidal Lie Algebras over Rational Quantum Tori
Chengkang Xu
Shangrao Normal University, Shangrao, 334000 Jiangxi, P. R. China
xiaoxiongxu@126.com
We classify all irreducible cuspidal modules for solenoidal Lie algebras over rational quantum tori, generalizing the results about cuspidal modules for solenoidal Lie algebras over commuting tori and the gap-p Virasoro algebras.
Keywords: Solenoidal Lie algebra, cuspidal module, quantum torus, gap-p Virasoro algebra.
MSC: 17B10, 17B66.
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