Geodesic
Simple Finite Jordan Pseudoalgebras
Symmetry, integrability and geometry: methods and applications, Tome 5 (2009) Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the structure of Jordan $H$-pseudoalgebras which are linearly finitely generated over a Hopf algebra $H$. There are two cases under consideration: $H=U(\mathfrak h)$ and $H=U(\mathfrak h)\#\mathbb C[\Gamma]$, where $\mathfrak h$ is a finite-dimensional Lie algebra over $\mathbb C$, $\Gamma$ is an arbitrary group acting on $U(\mathfrak h)$ by automorphisms. We construct an analogue of the Tits–Kantor–Koecher construction for finite Jordan pseudoalgebras and describe all simple ones.
Mots-clés : Jordan pseudoalgebra; conformal algebra; TKK-construction. 
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     author = {Pavel Kolesnikov},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2009_5_a13/}
}
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Pavel Kolesnikov. Simple Finite Jordan Pseudoalgebras. Symmetry, integrability and geometry: methods and applications, Tome 5 (2009). http://geodesic.mathdoc.fr/item/SIGMA_2009_5_a13/

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