6533b871fe1ef96bd12d0ee1

RESEARCH PRODUCT

On the consequences of the standard polynomial

Vesselin DrenskyFrancesca Benanti

subject

CombinatoricsDiscrete mathematicsReciprocal polynomialAlgebra and Number TheoryStable polynomialMinimal polynomial (linear algebra)Alternating polynomialDegree of a polynomialMonic polynomialCharacteristic polynomialMathematicsMatrix polynomial

description

The purpose of this paper is to shed some light on the polynomial identities of low degree for the n × n matrix algebra over a field of characteristic 0.Our main result is that we have found all the consequences of degree n + 2 of the standard polynomial have calculated the S n+2-character of the T-ideal generated by this polynomial.

https://doi.org/10.1080/00927879808826409