Indecomposable decomposition of tensor products of modules over the restricted quantum universal enveloping algebra associated to $\boldsymbol{\mathfrak{sl}_2}$

Details Indecomposable decomposition of tensor products of modules over the restricted quantum universal enveloping algebra associated to $\boldsymbol{\mathfrak{sl}_2}$ Indecomposable decomposition of tensor products of modules over the restricted quantum universal enveloping algebra associated to $\boldsymbol{\mathfrak{sl}_2}$

2009-01-27

arxiv.org/abs/0901.4221v3

Mathematics

Quantum Algebra

18pages, 1 figure, we modified Section 4 of the first version and added Appendix B to explain known results on representation

Scientific paper

In this paper we study the tensor category structure of the module category of the restricted quantum enveloping algebra associated to $\mathfrak{sl}_2$. Indecomposable decomposition of all tensor products of modules over this algebra is completely determined in explicit formulas. As a by-product, we show that the module category of the restricted quantum enveloping algebra associated to $\mathfrak{sl}_2$ is not a braided tensor category.

Affiliated with

Also associated with

No associations

Rating

Indecomposable decomposition of tensor products of modules over the restricted quantum universal enveloping algebra associated to $\boldsymbol{\mathfrak{sl}_2}$ 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 Indecomposable decomposition of tensor products of modules over the restricted quantum universal enveloping algebra associated to $\boldsymbol{\mathfrak{sl}_2}$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Indecomposable decomposition of tensor products of modules over the restricted quantum universal enveloping algebra associated to $\boldsymbol{\mathfrak{sl}_2}$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-361997