ON THE PRIMARY DECOMPOSITION THEOREM OF MODULAR LIE SUPERALGEBRAS  被引量:3

ON THE PRIMARY DECOMPOSITION THEOREM OF MODULAR LIE SUPERALGEBRAS

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作  者:CHEN LIANGYUN MENG DAOJI 

机构地区:[1]Department of Mathematics, Northeast Normal University, Changchun 130024, China

出  处:《Chinese Annals of Mathematics,Series B》2005年第4期523-536,共14页数学年刊(B辑英文版)

基  金:Project supported by the National Natural Science Foundation of China (No.10271076) the Youth Science Foundation of Northeast Normal University (No. 111494027).

摘  要:This gives some identities of associative Lie superalgebras and some properties of modular Lie superalgebras. Furthermore, the primary decomposition theorem of modular Lie superalgebras is shown. It is well known that the primary decomposition theorem of modular Lie algebras has played an important role in the classification of the finite-dimensional simple modular Lie algebras (see [5, 6]). Analogously, the primary decomposition theorem of modular Lie superalgebras may play an important role in the open classification of the finite dimensional simple modular Lie superalgebras.

关 键 词:Modular Lie superalgebras Fitting decomposition The primary decom position theorem 

分 类 号:O15[理学—数学]

 

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