Frontiers of Mathematics in China >
A class of simple Lie algebras attached to unit forms
Received date: 22 Feb 2016
Accepted date: 17 Nov 2016
Published date: 06 Jul 2017
Copyright
Let n≥3.The complex Lie algebra, which is attached to a unit form and defined by generators and generalized Serre relations, is proved to be a finite-dimensional simple Lie algebra of type ,and realized by the Ringel-Hall Lie algebra of a Nakayama algebra of radical square zero. As its application of the realization, we give the roots and a Chevalley basis of the simple Lie algebra.
Jinjing CHEN , Zhengxin CHEN . A class of simple Lie algebras attached to unit forms[J]. Frontiers of Mathematics in China, 2017 , 12(4) : 787 -803 . DOI: 10.1007/s11464-016-0616-x
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