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Locally trivial principal homogeneous spaces and conjugacy theorems for Lie algebras

A. Pianzola
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Abstract

For 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).

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A. Pianzola. 2003-04-04. Locally trivial principal homogeneous spaces and conjugacy theorems for Lie algebras. https://arxiv.org/abs/math/0304068

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