A new proof of the Amitsur-Levitski identity
- Cite this article as:
- Rosset, S. Israel J. Math. (1976) 23: 187. doi:10.1007/BF02756797
We give a simple proof of the Amitsur-Levitzki identity by analysing the powers of matrices with “differential 1-forms” as entries. Using the fact that 2-forms are central the identity is seen to follow from the Cayley-Hamilton theorem.