Wednesday, 3 January 2007

gr.group theory - nilpotent matrices over polynomial rings

I am looking for an analogue of the Jordan normal form for nilpotent matrices over the
polynomial ring mathbbZ[x1,dots,xn]mathbbZ[x1,dots,xn]. More precisely, is there a description for the orbits of action by conjugation of GLm(mathbbZ[x1,dots,xn])GLm(mathbbZ[x1,dots,xn]) on Mmtimesm(mathbbZ[x1,dots,xn])Mmtimesm(mathbbZ[x1,dots,xn])?

No comments:

Post a Comment