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| Lie Bialgebras of Generalized Loop Virasoro Algebras |
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Citation： |
Henan WU,Song WANG,Xiaoqing YUE.Lie Bialgebras of Generalized Loop Virasoro Algebras[J].Chinese Annals of Mathematics B,2015,36(3):437~446 |
| Page view： 1083
Net amount： 878 |
Authors： |
Henan WU; Song WANG; Xiaoqing YUE; |
Foundation： |
supported by the National Natural Science Foundation of China (Nos. 10825101,
11431010, 11271284, 11101269), the Scientific Research Starting Foundation for Doctors, Shanghai
Ocean University (No.A-0209-13-0105380) and the Youth Scholars of Shanghai Higher Education Institutions
(No. ZZHY14026). |
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| Abstract： |
The first cohomology group of generalized loop Virasoro algebras with coefficients
in the tensor product of its adjoint module is shown to be trivial. The result is used
to prove that Lie bialgebra structures on generalized loop Virasoro algebras are coboundary
triangular. The authors generalize the results to generalized map Virasoro algebras. |
Keywords： |
Lie bialgebra, Yang-Baxter equation, Generalized loop Virasoro algebra,
Generalized map Viarasoro algebra |
Classification： |
17B05, 17B37, 17B62, 17B68 |
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