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| ON THE PRIMARY DECOMPOSITION THEOREM OF MODULAR LIE SUPERALGEBRAS |
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Citation： |
CHEN Liangyun,MENG Daoji.ON THE PRIMARY DECOMPOSITION THEOREM OF MODULAR LIE SUPERALGEBRAS[J].Chinese Annals of Mathematics B,2005,26(4):523~536 |
| Page view： 1212
Net amount： 890 |
Authors： |
CHEN Liangyun; MENG Daoji |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10271076) and the Youth Science Foundation of Northeast Normal University (No.111494027). |
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| Abstract： |
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. |
Keywords： |
Modular Lie superalgebras, Fitting decomposition, The primary decomposition theorem |
Classification： |
17B40, 17B50 |
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