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Algebraic supergroups of Cartan type
An erratum for this article can be found here:
https://doi.org/10.1515/forum-2015-0044
Published/Copyright:
September 12, 2012
Abstract
I present a construction of connected affine algebraic supergroups šV associated with simple Lie superalgebras š¤ of Cartan type and with š¤-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 šV that I introduced. In particular,
the supergroup associated in this way with
The author thanks P. Cartier, M. Duflo, R. Fioresi, V. Serganova for many useful conversations and hints.
Received: 2011-11-29
Revised: 2012-2-24
Published Online: 2012-9-12
Published in Print: 2014-9-1
Ā© 2015 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Weighted norm inequalities for multilinear CalderĆ³nāZygmund operators on non-homogeneous metric measure spaces
- A characterization of degree two Siegel cusp forms by the growth of their Fourier coefficients
- Weyl groups for non-classical restricted Lie algebras and the Chevalley Restriction Theorem
- An Lp-theory for non-divergence form SPDEs driven by LĆ©vy processes
- CliffordāWolf translations of Finsler spaces
- Duality theory of weighted Hardy spaces with arbitrary number of parameters
- Group algebras whose symmetric elements are Lie metabelian
- Algebraic supergroups of Cartan type
- On the K- and L-theory of hyperbolic and virtually finitely generated abelian groups
