@inproceedings{d01ca399542a4f65b35d74e268239e4c,
title = "A novel quantum affine algebra of type a(1)1 and its PBW basis",
abstract = "In this paper, we construct a novel quantum affine algebra Uq(S{\^l}2) associated to the quantum structure constant matrix (formula presented). We prove that it is neither isomorphic to the usual quantum affine algebra of type A(1)1 nor to its co-opposite as Hopf algebras. We also introduce a quantum Weyl group as a subgroup of the group of algebra automorphisms of Uq(S{\^l}2). Using this quantum Weyl group, we give an explicit description of a Poincar{\'e}-Birkhoff-Witt basis of Uq(S{\^l}2).",
keywords = "Admissible quantum affine algebra, PBW basis, Quanutm Weyl group",
author = "Naihong Hu and Rushu Zhuang",
note = "Publisher Copyright: {\textcopyright} 2021 American Mathematical Society.; International Workshop on Hopf Algebras and Tensor Categories, 2019 ; Conference date: 09-09-2019 Through 13-09-2019",
year = "2021",
doi = "10.1090/conm/771/15511",
language = "英语",
isbn = "9781470456245",
series = "Contemporary Mathematics",
publisher = "American Mathematical Society",
pages = "153--194",
editor = "Nicol{\'a}s Andruskiewitsch and Gongxiang Liu and Susan Montgomery and Yinhuo Zhang",
booktitle = "Hopf Algebras, Tensor Categories and Related Topics",
address = "美国",
}