English

The bar involution for quantum symmetric pairs -- hidden in plain sight

Quantum Algebra 2021-04-14 v1 Representation Theory

Abstract

We show that all quantum symmetric pair coideal subalgebras BcB_\mathbf{c} of Kac-Moody type have a bar involution for a suitable choice of parameters c\mathbf{c}. The proof relies on a generalized notion of quasi K-matrix. The proof does not involve an explicit presentation of BcB_\mathbf{c} in terms of generators and relations.

Cite

@article{arxiv.2104.06120,
  title  = {The bar involution for quantum symmetric pairs -- hidden in plain sight},
  author = {Stefan Kolb},
  journal= {arXiv preprint arXiv:2104.06120},
  year   = {2021}
}

Comments

9 pages

R2 v1 2026-06-24T01:07:07.575Z