Lie super-bialgebra structures on super-Virasoro algebra

Hengyun Yang

Front. Math. China ›› 2009, Vol. 4 ›› Issue (2) : 365 -379.

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Front. Math. China ›› 2009, Vol. 4 ›› Issue (2) : 365 -379. DOI: 10.1007/s11464-009-0012-x
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Lie super-bialgebra structures on super-Virasoro algebra

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Abstract

In this paper we obtain that every super-Virasoro algebra admits only triangular coboundary Lie super-bialgebra structures and this is proved mainly based on the computation of derivations from the super-Virasoro algebra to the tensor product of its adjoint module.

Keywords

Lie super-bialgebra / Yang-Baxter equation / super-Virasoro algebra

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Hengyun Yang. Lie super-bialgebra structures on super-Virasoro algebra. Front. Math. China, 2009, 4(2): 365-379 DOI:10.1007/s11464-009-0012-x

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References

[1]

Drinfeld V. G. Hamiltonian structures on Lie groups, Lie bialgebras and the geometric meaning of classical Yang-Baxter equations. Dokl Akad Nauk SSSR, 1983, 268: 285-287.

[2]

Drinfeld V. G. Quantum groups. Proceeding of the International Congress of Mathematicians, 1987, Providence: Amer Math Soc, 798-820.

[3]

Michaelis W. A class of infinite-dimensional Lie bialgebras containing the Virasoro algebras. Adv Math, 1994, 107: 365-392.

[4]

Ng S. H., Taft E. J. Classification of the Lie bialgebra structures on the Witt and Virasoro algebras. J Pure Appl Algebra, 2000, 151: 67-88.

[5]

Nichols W. D. The structure of the dual Lie coalgebra of the Witt algebra. J Pure Appl Algebra, 1990, 68: 359-364.

[6]

Su Y. C. Harish-Chandra modules of the intermediate series over the high rank Virasoro algebras and high rank super-Virasoro algebras. J Math Phys, 1994, 35: 2013-2023.

[7]

Su Y. C. Classification of Harish-Chandra modules over the super-Virasoro algebras. Commun Algebra, 1995, 23: 3653-3675.

[8]

Taft E. J. Witt and Virasoro algebras as Lie bialgebras. J Pure Appl Algebra, 1993, 87: 301-312.

[9]

Wu Y. Z., Song G. A., Su Y. C. Lie bialgebras of generalized Virasoro-like type. Acta Math Sinica, 2006, 22(6): 1915-1922.

[10]

Wu Y. Z., Song G. A., Su Y. C. Lie bialgebras of generalized Witt type. II. Comm Algebra, 2007, 35(6): 1992-2007.

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