Formulae of $\imath$-divided powers in ${\bf U}_q(\mathfrak{sl}_2)$, III
Quantum Algebra
2023-01-03 v2 Representation Theory
Abstract
The -divided powers (depending on a parity) form the canonical basis for the split rank 1 quantum group and they are a basic ingredient for quantum groups of higher rank. We obtain closed formulae for the structure constants for multiplication of the -divided powers. Closed formulae for the comultiplication of the -divided powers are also obtained. These structure constants are integral and positive.
Keywords
Cite
@article{arxiv.2204.01051,
title = {Formulae of $\imath$-divided powers in ${\bf U}_q(\mathfrak{sl}_2)$, III},
author = {Xinhong Chen and Weiqiang Wang},
journal= {arXiv preprint arXiv:2204.01051},
year = {2023}
}
Comments
21 pages, v2, results upgraded to general parameters, accepted for publication