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])?
Wednesday, 3 January 2007
gr.group theory - nilpotent matrices over polynomial rings
at
02:34
Labels:
Mathematics

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