Lie Bialgebra Structures on the q-Analog Virasoro-Like Algebras

Abstract

We prove that all the bialgebra structures on a q-analog Virasoro-like algebra are triangular coboundary.

Key Words:

• Lie bialgebras
• The q-analog Virasoro-like algebras
• Yang–Baxter equation

2000 Mathematics Subject Classification:

• 17B62
• 17B05
• 17B37
• 17B66

ACKNOWLEDGMENT

This work is supported by NSF grant 10825101 and 10671096 of China. The first author also acknowledges the financial support by Professor Yucai Su's “One Hundred Talents Program” from University of Science and Technology of China.

Notes

Communicated by K. C. isra.