English

Quantum Borcherds-Bozec algebras and their integrable representations

Representation Theory 2019-12-13 v1

Abstract

We investigate the fundamental properties of quantum Borcherds-Bozec algebras and their representations. Among others, we prove that the quantum Borcherds-Bozec algebras have a triangular decomposition and the category of integrable representations is semi-simple.

Keywords

Cite

@article{arxiv.1912.06115,
  title  = {Quantum Borcherds-Bozec algebras and their integrable representations},
  author = {Seok-Jin Kang and Young-Rock Kim},
  journal= {arXiv preprint arXiv:1912.06115},
  year   = {2019}
}
R2 v1 2026-06-23T12:44:25.099Z