Integrable $\hat{\mathfrak{sl}_2}$-modules as infinite tensor products

Details Integrable $\hat{\mathfrak{sl}_2}$-modules as infinite tensor products Integrable $\hat{\mathfrak{sl}_2}$-modules as infinite tensor products

2002-05-27

arxiv.org/abs/math/0205281v1

Mathematics

Quantum Algebra

22 pages

Scientific paper

Using the fusion product of the representations of the Lie algebra $\mathfrak{sl}_2$ we construct a set of the integrable highest weight $\hat{\mathfrak{sl}_2}$-modules $L^D$, depending on the vector $D\in\mathbb{N}^{k+1}$. In a special cases of $D$ our modules are isomorphic to the irreducible $\hat{\mathfrak{sl}_2}$-modules $L_{i,k}$. We construct a basis of the $L^D$ and study the decomposition of $L^D$ on the irreducible components. We also write a formulas for the characters of $L^D$.

Affiliated with

Also associated with

No associations

Rating

Integrable $\hat{\mathfrak{sl}_2}$-modules as infinite tensor products 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 Integrable $\hat{\mathfrak{sl}_2}$-modules as infinite tensor products, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integrable $\hat{\mathfrak{sl}_2}$-modules as infinite tensor products will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-397220