English

R-triviality for adjoint classical groups of type C

Rings and Algebras 2026-02-27 v1 Number Theory

Abstract

For a central simple algebra with a symplectic involution (A,s) over a field of characteristic different from 2, we show that its group of projective similitudes PSim(A,s) is R-trivial in two new cases.

Cite

@article{arxiv.2602.23072,
  title  = {R-triviality for adjoint classical groups of type C},
  author = {M. Archita},
  journal= {arXiv preprint arXiv:2602.23072},
  year   = {2026}
}

Comments

6 pages

R2 v1 2026-07-01T10:54:00.243Z