The alternating PBW basis for the positive part of $U_q(\widehat{\mathfrak{sl}}_2)$
The positive part $U^+_q$ of $U_q(\widehat{\mathfrak{sl}}_2)$ has a presentation with two generators $A,B$ that satisfy the cubic $q$-Serre relations. We introduce a PBW basis for $U^+_q$, said to be alternating.
Terwilliger, Paul
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Poltoratski, Alexei +2 more
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