Israel Journal of Mathematics

, Volume 96, Issue 1, pp 97-113

First online:

Gröbner-Shirshov bases for quantum enveloping algebras

  • L. BokutAffiliated withInstitute of Mathematics Email author 
  • , P. MalcolmsonAffiliated withDepartment of Mathematics, Wayne State University

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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 typeA N (forq 8≠1).