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math.RA2012★ 1 cited
A cohomological proof of Peterson-Kac's theorem on conjugacy of Cartan subalgebras of affine Kac-Moody Lie algebras
Vladimir Chernousov, Vladimir Egorov, Philippe Gille +1
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 cohomo…
math-ph2012
Automorphisms and twisted forms of the N = 1, 2, 3 Lie conformal superalgebras
Zhihua Chang, Arturo Pianzola
We classify the N = 1, 2, 3 superconformal Lie algebras of Schwimmer and Seiberg by means of differential non-abelian cohomology, and describe the general philosophy behind this ne…