Vol. 240, No. 2, 2009

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Quantization of Hamiltonian-type Lie algebras

Guang’ai Song, Yucai Su and Bin Xin

Vol. 240 (2009), No. 2, 371–381
Abstract

In a previous paper, we classified all Lie bialgebras structures of Hamiltonian type. In this paper, we give an explicit formula for the quantization of Hamiltonian-type Lie algebras.

Keywords
quantization, Lie bialgebras, Drinfel’d twist, Hamiltonian-type Lie bialgebras
Mathematical Subject Classification 2000
Primary: 17B37
Secondary: 17B37
Milestones
Received: 2 June 2008
Accepted: 18 February 2009
Published: 4 March 2009
Authors
Guang’ai Song
College of Mathematics and Information Science
Shandong Institute of Business and Technology
Yantai, Shandong 264005
China
Yucai Su
Department of Mathematics
University of Science and Technology of China
Hefei 230026
China
Bin Xin
School of Mathematics and Computer Science
Guizhou Normal University
Guiyang 550001
China