Gröbner-Shirshov bases for quantum enveloping algebras
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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 typeAN(forq8≠1).
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