2020/07/06 by Cai, Yan-an, Lü, Rencai, Wang, Yan
#17B10 #17B20 #17B65 #17B66 #17B68 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.2007.02582
We classify Jet modules for the Lie (super)algebras \mathfrakL=W\ltimes(\mathfrakg⊗ℂ[t,t-1]), where W is the Witt algebra and \mathfrakg is a Lie superalgebra with an even diagonlizable derivation. Then we give a concept method to classify all simple cuspidal modules for \mathfrakL and the map superalgebras, which are of the form \mathfrakL⊗ R, where R is a Noetherian unital supercommutative associative superalgebra.