Mathematics – Quantum Algebra
Scientific paper
2002-10-17
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.
No associations
LandOfFree
Simple Finite Jordan Pseudoalgebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Simple Finite Jordan Pseudoalgebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Simple Finite Jordan Pseudoalgebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-671966