A uniform approach to the Damiani, Beck, and alternating PBW bases for the positive part of $U_q({\widehat{\mathfrak{sl}}}_2)$

Chenwei Ruan

This paper is about the positive part $U_q^{+}$ of the $q$-deformed enveloping algebra $U_q({\widehat{\mathfrak{sl}}}_2)$. The literature contains at least three PBW bases for $U_q^{+}$,…