Geodesic
Classification of Simple Cuspidal Modules Over a Lattice Lie Algebra of Witt Type
Canadian journal of mathematics, Tome 73 (2021) no. 2, pp. 417-440

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DOI

Let $W_{\unicode[STIX]{x1D70B}}$ be the lattice Lie algebra of Witt type associated with an additive inclusion $\unicode[STIX]{x1D70B}:\mathbb{Z}^{N}{\hookrightarrow}\mathbb{C}^{2}$ with $N>1$. In this article, the classification of simple $\mathbb{Z}^{N}$-graded $W_{\unicode[STIX]{x1D70B}}$-modules, whose multiplicities are uniformly bounded, is given.
DOI : 10.4153/S0008414X20000012
Mots-clés : Lattice Lie algebra, AV-module, cuspidal module 
Billig, Y.; Iohara, K. Classification of Simple Cuspidal Modules Over a Lattice Lie Algebra of Witt Type. Canadian journal of mathematics, Tome 73 (2021) no. 2, pp. 417-440. doi: 10.4153/S0008414X20000012
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     author = {Billig, Y. and Iohara, K.},
     title = {Classification of {Simple} {Cuspidal} {Modules} {Over} a {Lattice} {Lie} {Algebra} of {Witt} {Type}},
     journal = {Canadian journal of mathematics},
     pages = {417--440},
     year = {2021},
     volume = {73},
     number = {2},
     doi = {10.4153/S0008414X20000012},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X20000012/}
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