Trace identities from identities for determinants

Details Trace identities from identities for determinants Trace identities from identities for determinants

2004-11-03

arxiv.org/abs/math/0411061v1

Linear Algebra Appl. 411 (2005), 328-342.

Mathematics

Commutative Algebra

14 pages, AmS-TeX

Scientific paper

We present new identities for determinants of matrices $(A_{i,j})$ with
entries $A_{i,j}$ equal to $a_{i,j}$ or $a_{i,0}a_{0,j}-a_{i,j}$, where the
$a_{i,j}$'s are indeterminates. We show that these identities are behind trace
identities for $SL(2,\Bbb C)$ matrices found earlier by Magnus in his study of
trace algebras.

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