数学研究通讯

2015, v.31(03) 229-241

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Co-splitting of Simple Lie Algebras of Type A, D, E
Co-splitting of Simple Lie Algebras of Type A, D, E

Zhao Yu-e;Du Xian-kun;

摘要(Abstract):

In this paper, through a meticulous description of finite root system,a concrete comultiplication with an explicit action on the basis elements of finite dimensional simple Lie algebras of type A, D, E is constructed. Then any finite dimensional simple Lie algebra of type A, D, E is endowed with a new generalized Lie coalgebra splitting. This construction verifies the known existence of a co-split Lie structure on any finite dimensional complex simple Lie algebra.

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基金项目(Foundation): The Anhui Province College Excellent Young Talents Fund(2013SQRL071ZD)

作者(Author): Zhao Yu-e;Du Xian-kun;

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