Generalization of modular lowering operators for GL_n
表示论
2007-05-23 v1
摘要
We consider the generalization of Kleshchev's lowering operators obtained by raising all the Carter-Lusztig operators in their definition to a power less than the characteristic of the ground field. If we apply such an operator to a nonzero GL_{n-1}-high weight vector of an irreducible representation of GL_n, shall we get a nonzero GL_{n-1}-high weight vector again? The present paper gives the explicit answer to this question. In this way we obtain a new algorithm for generating some normal weights.
引用
@article{arxiv.math/0703128,
title = {Generalization of modular lowering operators for GL_n},
author = {Vladimir Shchigolev},
journal= {arXiv preprint arXiv:math/0703128},
year = {2007}
}
备注
to appear in Communications in Algebra