Rosso-Yamane Theorem on PBW basis of $U_q(A_N)$

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

Let $U_q(A_N)$ be the Drinfeld-Jimbo quantum group of type $A_N$. In this
paper, by using Groebner-Shirshov bases, we give a simple (but not short) proof
of the Rosso-Yamane Theorem on PBW basis of $U_q(A_N)$.

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