%0 Journal Article
%T 两类Virasoro代数的构造和相关性质<br>The Construction and Related Properties of Two Kinds of Virasoro Algebras
%A 马雯雯
%A 叶丽霞
%J Pure Mathematics
%P 448-457
%@ 2160-7605
%D 2020
%I Hans Publishing
%R 10.12677/PM.2020.105054
%X <p align=\"justify\">
	本文从两个方面推广了余德民等人在2013年构造的秩为8的Virasoro代数。通过重新定义李运算和将秩推广至2n，分别构造了两类新的Virasoro代数，并分别研究了它们的自同构群、中心、理想、子代数等相关性质。<br />
In this paper, we generalize the Virasoro Algebra of rank 8 constructed by Yu Demin et al. in 2013 from two aspects. Two kinds of Virasoro Algebras are constructed by redefining the Lie operation and extending the rank to 2n. Their automorphism groups, centers, ideals and subalgebras are also studied, respectively.
</p>
%K Virasoro代数，自同构群，理想，子代数<br>Virasoro Algebra
%K Automorphism Group
%K Ideal
%K Subalgebra
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=35559