English

Homological stability for certain classical groups

K-Theory and Homology 2008-03-31 v1

Abstract

We prove homological stability for standard unitary groups over R, C and H and for general linear groups over skew-fields with infinite centre. We focus on the similarities and differences of these proofs. Both proofs are due to Chih-Han Sah (Homology of classical Lie groups made discrete I: Stability theorems and Schur multipliers. Comment. Math. Helv. 61(2), 1986).

Keywords

Cite

@article{arxiv.0803.4136,
  title  = {Homological stability for certain classical groups},
  author = {Jan Essert},
  journal= {arXiv preprint arXiv:0803.4136},
  year   = {2008}
}
R2 v1 2026-06-21T10:25:24.197Z