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1Dual Lie bialgebra structures of Poisson types显示文摘Let A = F [x, y] be the polynomial algebra on two variables x, y over an algebraically closed field F of characteristic zero. Under the Poisson bracket, A is equipped with a natural Lie algebra structure. It is proven that the maximal good subspace of A* induced from the multiplication of the associative commutative algebra A coincides with the maximal good subspace of A* induced from the Poisson bracket of the Poisson Lie algebra A. Based on this, structures of dual Lie bialgebras of the Poisson type are investigated. As by-products,five classes of new infinite-dimensional Lie algebras are obtained.SONG Guang'Ai SU YuCai 2015Science China Mathematics2015,58,6:4
2形变bms_(3)代数上的左对称代数结构显示文摘本文主要通过对具有一定自然阶化条件的形变bms_(3)代数上的相容左对称代数结构的分类讨论,刻画了形变bms_(3)代数的相容左对称代数结构.余意 孙建才 2021数学学报(中文版)2021,64,6:0
3Left-Symmetric Algebra Structures on the Planar Galilean Conformal Algebra显示文摘In this paper, we mainly determine the compatible left-symmetric algebra structures on the planar Galilean conformal algebra with some natural grading conditions. The results of earlier work on left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra play an important role in determining these compatible structures. As a corollary, any such left-symmetric algebra contains an infinite-dimensional non-trivial subalgebra that is also a submodule of the regular module.Lili Chi Jiancai Sun 2019Algebra Colloquium2019,26,2:0
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