Simple Finite Jordan Pseudoalgebras

Details Simple Finite Jordan Pseudoalgebras Simple Finite Jordan Pseudoalgebras

2002-10-17

arxiv.org/abs/math/0210264v4

SIGMA 5 (2009), 014, 17 pages

Mathematics

Quantum Algebra

Scientific paper

10.3842/SIGMA.2009.014

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.

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