Matrix identities with forms

Details Matrix identities with forms Matrix identities with forms

2012-04-25

arxiv.org/abs/1204.5554v1

Mathematics

Rings and Algebras

29 pages

Scientific paper

Consider the algebra M(n,F) of n x n matrices over an infinite field F of arbitrary characteristic. An identity for M(n,F) with forms is such a polynomial in n x n generic matrices and in \sigma_k(x), 0n he introduced partial linearizations of \sigma_t and proved that they together with the well-known free relations and the Cayley--Hamilton polynomial generate T(n) as a T-ideal. We show that it is enough to take partial linearizations of \sigma_t for n

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