Iterating lowering operators

Details Iterating lowering operators Iterating lowering operators

2006-05-08

arxiv.org/abs/math/0605203v1

Mathematics

Representation Theory

This is the extended version of my paper in JPAA

Scientific paper

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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