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

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【作者】 Zhao Yu-eDu Xian-kun

【Author】 Zhao Yu-e;Du Xian-kun;School of Mathematics, Qingdao University;

【机构】 School of Mathematics, Qingdao University

【摘要】 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.

【基金】 The Anhui Province College Excellent Young Talents Fund(2013SQRL071ZD)
  • 【DOI】10.13447/j.1674-5647.2015.03.05
  • 【分类号】O152.5
  • 【下载频次】22
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