$\imath$quantum groups of split type via derived Hall algebras

Jiayi Chen; Ming Lu; Shiquan Ruan

$\imath$quantum groups of split type via derived Hall algebras

Quantum Algebra 2023-03-27 v2 Representation Theory

Authors: Jiayi Chen , Ming Lu , Shiquan Ruan

Abstract

A quantum symmetric pair consists of a quantum group $\mathbf U$ and its coideal subalgebra ${\mathbf U}^{\imath}_{{\boldsymbol{\varsigma}}}$ (called an $\imath$ quantum group) with parameters ${\boldsymbol{\varsigma}}$ . In this note, we use the derived Hall algebras of 1-periodic complexes to realize the $\imath$ quantum groups ${\mathbf U}^{\imath}_{{\boldsymbol{\varsigma}}}$ of split type.

Keywords

quantum groups

Cite

@article{arxiv.2111.09479,
  title  = {$\imath$quantum groups of split type via derived Hall algebras},
  author = {Jiayi Chen and Ming Lu and Shiquan Ruan},
  journal= {arXiv preprint arXiv:2111.09479},
  year   = {2023}
}

Comments

14 pages, minor edits, accepted by Journal of Algebra. arXiv admin note: text overlap with arXiv:2110.02575

$\imath$quantum groups of split type via derived Hall algebras

Abstract

Keywords

Cite

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