Algebraic supergroups of Cartan type

Details Algebraic supergroups of Cartan type Algebraic supergroups of Cartan type

2011-09-03

arxiv.org/abs/1109.0626v3

Mathematics

Rings and Algebras

La-TeX file, 47 pages - Final version, to appear in "Forum Mathematicum". The paper has been entirely re-edited (now it is sho

Scientific paper

I present a construction of connected affine algebraic supergroups G_V associated with simple Lie superalgebras g of Cartan type and with g-modules V. Conversely, I prove that every connected affine algebraic supergroup whose tangent Lie superalgebra is of Cartan type is necessarily isomorphic to one of the supergroups G_V that I introduced. In particular, the supergroup constructed in this way associated with g := W(n) and its standard representation is described somewhat more in detail.

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