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Iterating lowering operators

Vladimir Shchigolev
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Abstract

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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Vladimir Shchigolev. 2006-05-08. Iterating lowering operators. https://arxiv.org/abs/math/0605203

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