English

Totally decomposable algebras with involution and R-triviality

Rings and Algebras 2026-02-12 v1 Algebraic Geometry Number Theory

Abstract

We show that the group of proper projective similitudes of a totally decomposable algebra with involution of the first kind over a field of characteristic different from 2 is R-trivial.

Keywords

Cite

@article{arxiv.2602.10302,
  title  = {Totally decomposable algebras with involution and R-triviality},
  author = {M. Archita and Karim Johannes Becher},
  journal= {arXiv preprint arXiv:2602.10302},
  year   = {2026}
}

Comments

7 pages

R2 v1 2026-07-01T10:30:46.744Z