Szigeti Jenő (Miskolc): A szimmetrikus determináns és a 3x3-as szimmetrikus Newton-formula

Abstract: One of the aims of this talk is to provide a short survey on the natural left, right and symmetric generalizations of the classical determi- nant theory for square matrices with entries in an arbitrary (possibly non- commutative) ring. Then we use the preadjoint matrix to exhibit a general trace expression for the symmetric determinant. The symmetric version of the classical Newton trace formula is presented in the 3x3 case.