Israel Journal of Mathematics

, Volume 96, Issue 1, pp 97–113

Gröbner-Shirshov bases for quantum enveloping algebras


DOI: 10.1007/BF02785535

Cite this article as:
Bokut, L. & Malcolmson, P. Israel J. Math. (1996) 96: 97. doi:10.1007/BF02785535


We give a method for finding Gröbner-Shirshov bases for the quantum enveloping algebras of Drinfel’d and Jimbo, show how the methods can be applied to Kac-Moody algebras, and explicitly find the bases for quantum enveloping algebras of typeAN(forq8≠1).

Copyright information

© Hebrew University 1996

Authors and Affiliations

  1. 1.Institute of MathematicsNovosibirskRussia
  2. 2.Department of MathematicsWayne State UniversityDetroitUSA

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