Classification of simple cuspidal modules over a lattice Lie algebra of Witt type

Y Billig (1) , K. Iohara (2)

1 Carleton University
2 AGL - Algèbre, géométrie, logique

Let W π be the lattice Lie algebra of Witt type associated with an additive inclusion π : Z N → C 2 with N > 1. In this article, the classification of simple Z N-graded W π-modules, whose multiplicities are uniformly bounded, is given.

Mots clés: Lattice Lie Algebra; AV-module; cuspidal module

Domaines: Mathématiques [math]; Théorie des représentations [math.RT]

Y Billig, K. Iohara. Classification of simple cuspidal modules over a lattice Lie algebra of Witt type. Canadian Journal of Mathematics, 2021, 73, pp.417--440. ⟨10.4153/S0008414X20000012⟩. ⟨hal-01873073⟩