English

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

Rings and Algebras 2009-03-04 v1 Quantum Algebra

Abstract

Let Uq(AN)U_q(A_N) be the Drinfeld-Jimbo quantum group of type ANA_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 Uq(AN)U_q(A_N).

Cite

@article{arxiv.0804.0954,
  title  = {Rosso-Yamane Theorem on PBW basis of $U_q(A_N)$},
  author = {Yuqun Chen and Hongshan Shao and K. P. Shum},
  journal= {arXiv preprint arXiv:0804.0954},
  year   = {2009}
}
R2 v1 2026-06-21T10:28:11.995Z