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- W4294540004 abstract "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. In 1993 I. Damiani obtained a PBW basis for $U^+_q$, consisting of some elements $lbrace E_{ndelta+alpha_0}rbrace_{n=0}^infty$, $lbrace E_{ndelta+alpha_1}rbrace_{n=0}^infty$, $lbrace E_{ndelta}rbrace_{n=1}^infty$ that are defined recursively. Our goal is to describe these elements in closed form. We achieve this goal using Catalan words and a $q$-shuffle algebra." @default.
- W4294540004 created "2022-09-03" @default.
- W4294540004 creator A5059249005 @default.
- W4294540004 date "2018-06-28" @default.
- W4294540004 modified "2023-09-25" @default.
- W4294540004 title "Using Catalan words and a $q$-shuffle algebra to describe a PBW basis for the positive part of $U_q({widehat {mathfrak{sl}}}_2)$" @default.
- W4294540004 doi "https://doi.org/10.48550/arxiv.1806.11228" @default.
- W4294540004 hasPublicationYear "2018" @default.
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