Locally trivial principal homogeneous spaces and conjugacy theorems for Lie algebras

Details Locally trivial principal homogeneous spaces and conjugacy theorems for Lie algebras Locally trivial principal homogeneous spaces and conjugacy theorems for Lie algebras

2003-04-04

arxiv.org/abs/math/0304068v1

Mathematics

Representation Theory

18 pages, to appear in Journal of Algebra

Scientific paper

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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