Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598994 | Linear Algebra and its Applications | 2015 | 172 Pages |
Abstract
We introduce the notion of a lowering–raising (or LR) triple of linear transformations on a nonzero finite-dimensional vector space. We show how to normalize an LR triple, and classify up to isomorphism the normalized LR triples. We describe the LR triples using various maps, such as the reflectors, the inverters, the unipotent maps, and the rotators. We relate the LR triples to the equitable presentation of the quantum algebra Uq(sl2)Uq(sl2) and Lie algebra sl2sl2.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Paul Terwilliger,