Rosso-Yamane Theorem on PBW Basis of 𝑈ԛ(𝐴ɴ)

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Abstract

Let Uq(AN) be the Drinfeld-Jimbo quantum group of type AN. In this paper, by using Gr¨obner-Shirshov bases, we give a simple (but not short) proof of the Rosso-Yamane Theorem on PBW basis of Uq(AN).

Keywords

Quantum group , Quantum enveloping algebra , Gr¨obner-Shirshov basis
  • Yuqun Chen School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P. R. China.
  • Hongshan Shao School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P. R. China.
  • K.P. Shum Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong, China (SAR).
  • Pages: 171–194
  • Date Published: 2008-10-01
  • Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal

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Published

2008-10-01

How to Cite

[1]
Y. Chen, H. Shao, and K. Shum, “Rosso-Yamane Theorem on PBW Basis of 𝑈ԛ(𝐴ɴ)”, CUBO, vol. 10, no. 3, pp. 171–194, Oct. 2008.

Issue

Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal

Section

Articles