JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (10): 17-27.doi: 10.6040/j.issn.1671-9352.0.2014.178

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Anick resolution and some homological properties of quantum group Uq(sl2)

GAO Zhen-zhen1, YANG Shi-lin1, OBUL Abdukadir2   

  1. 1. College of Applied Sciences, Beijing University of Technology, Beijing 100124, China;
    2. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, Xinjiang, China
  • Received:2014-04-23 Online:2014-10-20 Published:2014-11-10

Abstract: By using the ö-Shirshov basis and the method of Anick, we construct the Anick resolution for the quantum enveloping algebra Uq(sl2) As an application, we consider some homological properties and the Poincaré series of Uq(sl2)

Key words: Grö, obstructions, Anick resolution, Poincaré, series, bner-Shirshov basis

CLC Number: 

  • O153.3
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