Towards classification of simple finite dimensional modular Lie superalgebras
Towards classification of simple finite dimensional modular Lie superalgebras
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发表时间：
2006-11
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通讯作者：
D. Leites
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作者：
D. Leites
给出了特征不为2的代数闭域上有限维模李（超）代数的一种构造方法。在特征2中，假设该方法只给出整数阶化的单李（超）代数和一些非阶化的单李（超）代数。该猜想是支持最新的结果计算最困难的是获得的帮助下Grozman的软件包SuperLie。
A way to construct (conjecturally all) simple finite dimensional modular Lie (super)algebras over algebraically closed fields of characteristic not 2 is offered. In characteristic 2, the method is supposed to give only simple Lie (super)algebras graded by integers and only some of the non-graded ones). The conjecture is backed up with the latest results computationally most difficult of which are obtained with the help of Grozman's software package SuperLie.