Polynomial invariants of groups associated to configurations of hyperplanes over finite fields

[摘要] Let V be an n-dimensional vector space over a field F. An arrangement of hyperplanes A = {H-1,...,H-k} in V is said to be in general position if whenever j is an element of N lies between 1 and min(n,k) the dimension of the intersection of any j hyperplanes in A has codimension j. In this note we examine several subgroups of GL(n, F) associated with such an arrangement and the corresponding rings of polynomial invariants. (C) 1997 Elsevier Science B.V.

[发布日期] 1997-10-24