首页|A cohomological proof of Peterson-Kac's theorem on conjugacy of Cartan
subalgebras of affine Kac-Moody Lie algebras
A cohomological proof of Peterson-Kac's theorem on conjugacy of Cartan subalgebras of affine Kac-Moody Lie algebras
A cohomological proof of Peterson-Kac's theorem on conjugacy of Cartan subalgebras of affine Kac-Moody Lie algebras
This paper deals with the problem of conjugacy of Cartan subalgebras for affine Kac-Moody Lie algebras. Unlike the methods used by Peterson and Kac, our approach is entirely cohomological and geometric. It is deeply rooted on the theory of reductive group schemes developed by Demazure and Grothendieck, and on the work of J. Tits on buildings.
Philippe Gille、Vladimir Egorov、Vladimir Chernousov、Arturo Pianzola
DMADMADMA
数学
Philippe Gille,Vladimir Egorov,Vladimir Chernousov,Arturo Pianzola.A cohomological proof of Peterson-Kac's theorem on conjugacy of Cartan subalgebras of affine Kac-Moody Lie algebras[EB/OL].(2012-05-03)[2025-07-25].https://arxiv.org/abs/1205.0669.点此复制
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