Standard modules, radicals, and the valenced Temperley-Lieb algebra
Mathematical Physics
2018-12-13 v2 Combinatorics
math.MP
Quantum Algebra
Representation Theory
Abstract
This article concerns a generalization of the Temperley-Lieb algebra, important in applications to conformal field theory. We call this algebra the valenced Temperley-Lieb algebra. We prove salient facts concerning this algebra and its representation theory, which are both of independent interest and used in our subsequent work, where we uniquely and explicitly characterize the monodromy invariant correlation functions of certain conformal field theories.
Cite
@article{arxiv.1801.10003,
title = {Standard modules, radicals, and the valenced Temperley-Lieb algebra},
author = {Steven M. Flores and Eveliina Peltola},
journal= {arXiv preprint arXiv:1801.10003},
year = {2018}
}
Comments
v2: 93 pages, numerous figures. Parts of v1 were extracted to [arXiv:1811.12364], and v2 is rearranged accordingly