This article is cited in 2 papers

Cartan–Weyl basis for $DY(sl_3)$

A. V. Solov'ev

M. V. Lomonosov Moscow State University

Abstract: The double of the Yangian $Y(sl_3)$ defined via Chavelly generators is constructed. The Cartan–Weyl basis ensuring an analog of the Poincare–Birkhoff–Witt theorem is obtained. This basis is used to define the action of the comultiplication on the Chavelley generators. The explicit description of the double $DY(sl_3)$ is given and the universal $R$-matrix is computed.

Received: 20.08.1996

DOI: 10.4213/tmf1019

 English version: Theoretical and Mathematical Physics, 1997, 111:3, 731–743

Bibliographic databases:

• 
• 
•