A presentation of relative unitary Steinberg groups
Group Theory
2026-05-08 v3
Abstract
We find an explicit presentation of relative odd unitary Steinberg groups constructed by odd form rings and of relative doubly laced Steinberg groups over commutative rings, i.e. the Steinberg groups associated with the Chevalley group schemes of the types , , for . For simply laced root systems such result is already known.
Keywords
Cite
@article{arxiv.2206.11885,
title = {A presentation of relative unitary Steinberg groups},
author = {Egor Voronetsky},
journal= {arXiv preprint arXiv:2206.11885},
year = {2026}
}
Comments
Added section 8 (a presentation for "even" unitary groups, including symplectic and even orthogonal groups)