On q,t-characters and the l-weight Jordan filtration of standard quantum affine sl2 modules

Details On q,t-characters and the l-weight Jordan filtration of standard quantum affine sl2 modules On q,t-characters and the l-weight Jordan filtration of standard quantum affine sl2 modules

2010-04-14

arxiv.org/abs/1004.2321v3

Mathematics

Quantum Algebra

30 pages; v3: version to appear in International Mathematics Research Notices

Scientific paper

The Cartan subalgebra of the sl2 quantum affine algebra is generated by a family of mutually commuting operators, responsible for the l-weight decomposition of finite dimensional modules. The natural Jordan filtration induced by these operators is generically non-trivial on l-weight spaces of dimension greater than one. We derive, for every standard module of quantum affine sl2, the dimensions of the Jordan grades and prove that they can be directly read off from the t-dependence of the q,t-characters introduced by Nakajima. To do so we construct explicit bases for the standard modules with respect to which the Cartan generators are upper-triangular. The basis vectors of each l-weight space are labelled by the elements of a ranked poset from the family L(m,n).

Affiliated with

Also associated with

No associations

Rating

On q,t-characters and the l-weight Jordan filtration of standard quantum affine sl2 modules 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 On q,t-characters and the l-weight Jordan filtration of standard quantum affine sl2 modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On q,t-characters and the l-weight Jordan filtration of standard quantum affine sl2 modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-525471