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In this article we consider Lie super-bialgebra structures on the generalized loop super-Virasoro algebra $\G$. By proving that the first cohomology group $H^1(\G, \G\otimes\G)$ is trivial, we obtain that all such Lie bialgebras are triangular coboundary.
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참고문헌 (19)
참고문헌 신청
I. Bakas / 1988 / Conformal invariance, the KdV equation and coadjoint orbits of the Virasoro algebra / Nuclear Phys. B 302(2):189~203
M. Chaichian / 2004 / Discrete-time quantum field theory and the deformed super-Virasoro algebra / Phys. Lett. A 322(3-4):156~165
Y.-S. Cheng / 2009 / Lie bialgebra structures on Lie algebras of block type / Algebra Colloq 16(4):677~690
V. G. Drinfeld / 1983 / Constant quasiclassical solutions of the Yang-Baxter quantum equation / Soviet Math. Dokl 28(3):667~671
V. G. Drinfeld / 1986 / Quantum groups / Proceeding of the International Congress of Mathemati-cians 1,2:798~820
M. Chaichian / 2004 / Discrete-time quantum field theory and the deformed super-Virasoro algebra / Phys. Lett. A 322(3-4):156~165
Y.-S. Cheng / 2009 / Lie bialgebra structures on Lie algebras of block type / Algebra Colloq 16(4):677~690
V. G. Drinfeld / 1983 / Constant quasiclassical solutions of the Yang-Baxter quantum equation / Soviet Math. Dokl 28(3):667~671
V. G. Drinfeld / 1986 / Quantum groups / Proceeding of the International Congress of Mathemati-cians 1,2:798~820
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