Iterating lowering operators
classification
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highloweringoperatorsvectorsweightalgebraicallyalgorithmalready
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For an algebraically closed base field of characteristic p>0, a new algorithm to construct some non-zero GL(n-1)-high weight vectors of irreducible rational GL(n)-modules is suggested. It is based on successively applying Kleshchev's lowering operators to GL(n-1)-high weight vectors already obtained.
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