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| ON THE COHOMOLOGY OF GENERALIZED RESTRICTED LIE ALGEBRAS |
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Citation： |
Shu Bin.ON THE COHOMOLOGY OF GENERALIZED RESTRICTED LIE ALGEBRAS[J].Chinese Annals of Mathematics B,1998,19(4):421~432 |
| Page view： 1111
Net amount： 775 |
Authors： |
Shu Bin; |
Foundation： |
the National Natural Science Foundation of China |
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| Abstract： |
In [21], generalized restricted Lie algebras, defined
over a field $F$ of positive characteristic $p$, were introduced.In this note their cohomology, especially the so-called generalized restricted cohomology is studies. Some reduction properties are obtained. For graded Cartan type Lie algebras the author determines the first Lie-cohomology groups and the first generalized restricted cohomology groups with the coefficients in the highest weight modules from which all irreducible generalized restricted modules are derived. |
Keywords： |
Generalized restricted Lie algebras, Generalized restricted
Cohomology, Lie algebras of Cartan type |
Classification： |
17B30, 17B50 |
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