English

Representations of the super Jordan plane

Quantum Algebra 2022-08-26 v1

Abstract

It is shown that the finite-dimensional simple representations of the super Jordan plane BB are one-dimensional. The indecomposable representations of dimension 22 and 33 of BB are classified. Two families of indecomposable representations of BB of arbitrary dimension are presented.

Keywords

Cite

@article{arxiv.1707.08669,
  title  = {Representations of the super Jordan plane},
  author = {Nicolás Andruskiewitsch and Dirceu Bagio and Saradia Della Flora and Daiana Flôres},
  journal= {arXiv preprint arXiv:1707.08669},
  year   = {2022}
}