Locally trivial principal homogeneous spaces and conjugacy theorems for Lie algebras

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66994For g a split semisimple Lie algebra over a field of characteristic 0, we link locally trivial principal homogeneous spaces over Spec(R) to the question of conjugacy of maximal abelian diagonalizable subalgebras of g(R).18 pages, to appear in Journal of AlgebraRepresentation TheoryAlgebraic Geometry14L15;17B01Locally trivial principal homogeneous spaces and conjugacy theorems for Lie algebrastext