一类最高权向量环的Krull维数

摘要

We give a formula for the Krull dimension of the rings of highest weight vectors of the action of Om × GLn on the complex polynomial rings on Cm,n. Thus correct a mistake of Aslaksen, Tan and Zhu.%本文给出Om×GLn作用于Cm,n上的复多项式环上的最高权向量环的Krull维数公式,从而改正了Aslaksen,Tan及Zhu的一个错误.