English

Improved stability for odd-dimensional orthogonal group

Group Theory 2015-02-10 v1 Representation Theory

Abstract

We compute the kernel of the stabilization map for K1K_1-functors modeled on split Chevalley groups of types Bl,Cl,ElB_l, C_l, E_l one step below the stable range. For the groups of type BlB_l this implies early injective stability for K1(Bl,R)K_1(B_l, R) over a certain class of rings.

Keywords

Cite

@article{arxiv.1312.3440,
  title  = {Improved stability for odd-dimensional orthogonal group},
  author = {Sergey Sinchuk},
  journal= {arXiv preprint arXiv:1312.3440},
  year   = {2015}
}
R2 v1 2026-06-22T02:26:08.583Z