JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (8): 28-37.doi: 10.6040/j.issn.1671-9352.0.2020.024

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Gröbner-Shirshov basis of irreducible modules over quantum group of type B2

HE Yu-xing, Abdukadir Obul*   

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, Xinjiang, China
  • Published:2020-07-14

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Abstract: By using the known Gröbner-Shirshov basis of quantum group Uq(B2) and the double free module method, we give a Gröbner-Shirshov pair of finite dimensional irreducible Uq(B2)-module Vq(λ), first, then by specializing a suitable version of Uq(B2) at q=1, we get a Gröbner-Shirshov basis of U(B2) and a Gröbner-Shirshov pair of finite dimensional irreducible U(B2)-module V(λ).

Key words: Grö, bner-Shirshov pair, composition, quantum group, double free module

CLC Number: 

  • O153.3
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