Chevalley Supergroups of type D(2,1;a)

Details Chevalley Supergroups of type D(2,1;a) Chevalley Supergroups of type D(2,1;a)

2010-06-02

arxiv.org/abs/1006.0464v1

Mathematics

Rings and Algebras

La-TeX file, 32 pages

Scientific paper

I present a construction "a` la Chevalley" of affine supergroups associated to simple Lie superalgebras of (classical) type D(2,1;a), for any possible value of the parameter a (in particular, including non-integral values of a). This extends the similar work performed in a previous paper - by the author and Rita Fioresi, cf. arXiv:0808.0785 - which associates an affine supergroup to any other simple Lie superalgebras of classical type.

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