Using Catalan words and a \(q\)-shuffle algebra to describe the Beck PBW basis for the positive part of \(U_q( \widehat{\mathfrak{sl}}_2)\)

DOI10.1016/j.jalgebra.2022.04.013OpenAlexW4224882500MaRDI QIDQ2136903

Paul M. Terwilliger

Publication date: 16 May 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.12708

zbMATH Keywords

PBW basis\(q\)-Serre relationsCatalan word\(q\)-shuffle algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Combinatorial aspects of algebraic geometry (05E14)

Related Items (3)

A generating function associated with the alternating elements in the positive part of U_q(sl^2) ⋮ Using a q-shuffle algebra to describe the basic module V(Λ_0) for the quantized enveloping algebra Uq(sl^2) ⋮ Tridiagonal pairs, alternating elements, and distance-regular graphs

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