direct sums of modules
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WHEN DO THE DIRECT SUMS OF MODULES INHERIT CERTAIN PROPERTIES?

2012 ◽  
pp. 47-77 ◽  
Author(s):  
GANGYONG LEE ◽  
S. TARIQ RIZVI ◽  
COSMIN ROMAN
Keyword(s):  
Direct Sums ◽  
Direct Sums Of Modules

scholarly journals Finitely sorting Lie algebras

1990 ◽  
Vol 49 (3) ◽  
pp. 354-363 ◽  
Author(s):  
Donald W. Barnes
Keyword(s):  
Lie Algebras ◽  
Vanishing Theorems ◽  
Direct Sums ◽  
Infinite Dimensional ◽  
Finite Dimensional ◽  
Direct Sums Of Modules

AbstractLie algebras whose finite-dimensional modules decompose into direct sums of modules involving only one type of irreducible are investigated. Some vanishing theorems for the cohomology of some infinite-dimensional Lie algebras are thereby obtained.

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