Classification of Simple Cuspidal Modules over a Lattice Lie Algebra of Witt type

Yuly Billig; Kenji Iohara

Classification of Simple Cuspidal Modules over a Lattice Lie Algebra of Witt type

Representation Theory 2020-01-17 v2

Authors: Yuly Billig , Kenji Iohara

Abstract

Let $W_\pi$ be the lattice Lie algebra of Witt type associated with an additive inclusion $\pi: \mathbb{Z}^N \hookrightarrow \mathbb{C}^2$ with $N>1$ . In this article, the classification of simple $\mathbb{Z}^N$ -graded $W_\pi$ -modules, whose multiplicities are uniformly bounded, is given.

Keywords

lattice lie algebra of witt type simple cuspidal modules z^n-graded modules classification uniformly bounded multiplicities

Cite

@article{arxiv.1809.04548,
  title  = {Classification of Simple Cuspidal Modules over a Lattice Lie Algebra of Witt type},
  author = {Yuly Billig and Kenji Iohara},
  journal= {arXiv preprint arXiv:1809.04548},
  year   = {2020}
}

Comments

29 pages

Related papers

View all related →