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ad-NILPOTENT ELEMENTS, QUASI-NILPOTENT ELEMENTS AND INVARIANT FILTRATIONS OF INFINITE DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
作者姓名:金宁
作者单位:Dempartment of
摘    要:Let F be an arbitrary field of characteristic p≠2, and L be an infinite Lie, algebra ofCartan type (graded or complete). When p>3 (or p is arbitrary), the set of ad-nilpotent(or quasi-nilpotent) elements of L is determined. Consequently, it is proved that the naturalfiltration and the noncontractible filtration of L are invariant.


ad-NILPOTENT ELEMENTS, QUASI-NILPOTENT ELEMENTS AND INVARIANT FILTRATIONS OF INFINITE DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
JIN NING Dempartment of Mthematics,Nanjing University,Nanjing ,PRC..ad-NILPOTENT ELEMENTS, QUASI-NILPOTENT ELEMENTS AND INVARIANT FILTRATIONS OF INFINITE DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE[J].Science in China(Chemistry),1992(10).
Authors:JIN NING Dempartment of Mthematics  Nanjing University  Nanjing  PRC
Institution:JIN NING Dempartment of Mthematics,Nanjing University,Nanjing 210008,PRC.
Abstract:
Keywords:Lie algebras of Cartan type  ad-nilpotent elements  quasi-nilpotent elements  filtration
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