A Cayley-Hamilton trace identity for 2 x 2 matrices over Lie-solvable rings

arxiv: 1106.6190 · v1 · pith:5BWNTYWNnew · submitted 2011-06-30 · 🧮 math.RA

Johan Meyer , Jeno Szigeti , Leon van Wyk This is my paper

classification 🧮 math.RA

keywords cayley-hamiltonidentitymatricestraceentriesexhibitlie-solvablering

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We exhibit a Cayley-Hamilton trace identity for $2\times2$ matrices with entries in a ring $R$ satisfying $[[x,y],[x,z]]=0$ and 1/2 \in R$.

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