一类超Heisenberg-Virasoro代数的超双代数结构
Lie Super-Bialgebra Structures on a Super Heisenberg-Virasoro Algebra
摘要: 本文主要研究了一类超Heisenberg-Virasoro代数上的超双代数结构，得到了该类超李双代数为三角余边缘的充分必要条件。
Abstract: In this paper we investigate Lie super-bialgebra structures on a super Heisenberg-Virasoro algebra. We obtain sufficient and necessary conditions for this type Lie super-bialgebra structures to be triangular coboundary.
文章引用：李美君. 一类超Heisenberg-Virasoro代数的超双代数结构[J]. 理论数学, 2019, 9(7): 783-790. https://doi.org/10.12677/PM.2019.97102

参考文献

[1] Drinfeld, V.G. (1983) Constant Quasiclassical Solutions of the Yang-Baxter Quantum Equation. Soviet Mathematics Doklady, 28, 667-671.
[2] Belavin, A.A. and Drinfeld, V.G. (1982) Solutions of the Classical Yang-Baxter Equation for Simple Lie Algebras. Functional Analysis and Its Applications, 16, 159-180.
[Google Scholar] [CrossRef] 
[3] Michaelis, W. (1994) A Class of Infinite-Dimensional Lie Bialgebras Containing the Virasoro Algebras. Advances in Mathematics, 107, 365-392.
[Google Scholar] [CrossRef] 
[4] Taft, E.J. (1993) Witt and Virasoro Algebras as Lie Bialgebras. Journal of Pure and Applied Algebra, 87, 301-312.
[Google Scholar] [CrossRef] 
[5] Ng, S.H. and Taft, E.J. (2000) Classification of the Lie Bialgebra Structures on the Witt and Virasoro Algebras. Journal of Pure and Applied Algebra, 151, 67-88.
[Google Scholar] [CrossRef] 
[6] Han, J.Z., Li, J.B. and Su, Y.C. (2009) Lie Bialgebra Structures on the Schrödinger-Virasoro Lie Algebra. Journal of Mathematical Physics, 50, Article ID: 083504.
[Google Scholar] [CrossRef] 
[7] Song, G.A. and Su, Y.C. (2006) Lie Bialgebras of Generalized Witt Type. Science in China: Series A, 49, 533-544.
[Google Scholar] [CrossRef] 
[8] Wu, Y.Z., Song, G.A. and Su, Y.C. (2006) Lie Bialgebras of Generalized Virasoro-Like Type. Acta Mathematica Sinica, English Series, 22, 1915-1922.
[Google Scholar] [CrossRef] 

为你推荐