Physics – Mathematical Physics
Scientific paper
2005-11-02
Physics
Mathematical Physics
25 pages
Scientific paper
Let $K$ denote a field with characteristic 0 and let $T$ denote an indeterminate. We give a presentation for the three-point loop algebra $\mathfrak{sl}_2 \otimes K\lbrack T, T^{-1},(T-1)^{-1}\rbrack$ via generators and relations. This presentation displays $S_4$-symmetry. Using this presentation we obtain a decomposition of the above loop algebra into a direct sum of three subalgebras, each of which is isomorphic to the Onsager algebra.
Hartwig Brian
Terwilliger Paul
No associations
LandOfFree
The Tetrahedron algebra, the Onsager algebra, and the $\mathfrak{sl}_2$ loop algebra 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 The Tetrahedron algebra, the Onsager algebra, and the $\mathfrak{sl}_2$ loop algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Tetrahedron algebra, the Onsager algebra, and the $\mathfrak{sl}_2$ loop algebra will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-639888