Infinite-dimensional necklace Lie algebras and some finite-dimensional important subalgebras  

作　　者：Demin YU Caihui LU 

机构地区：[1]College of Mathematics,Hunan Institute of Science and Technology,Yueyang 414000,China [2]School of Mathematical Sciences,Capital Normal University,Beijing 100037,China

出　　处：《Frontiers of Mathematics in China》2023年第5期353-365,共13页中国高等学校学术文摘·数学（英文）

摘　　要：In this paper,a new infinite-dimensional necklace Lie algebra is studied and the left and right index arrays of a necklace word in necklace Lie algebra is first defined.Using the left and right index arrays,we divide the necklace words into 5 classes.We discuss finite-dimensional Lie subalgebras of necklace Lie algebras intensively and prove that some subalgebras are isomorphism to simple Lie algebra sl(n).

关 键 词：Necklace Lie algebra left and right index arrays SUBALGEBRA 

分 类 号：O15[理学—数学]