This material has been published in
Linear
Algebra Appl. 411 (2005), 328-342,
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Trace identities from identities for determinants
(14 pages)
Abstract.
We present new identities for determinants of matrices
(Ai,j) with entries Ai,j
equal to ai,j or
ai,0a0,j-ai,j,
where the ai,j's are
indeterminates. We show that these identities are behind trace
identities for SL(2,C) matrices found earlier by Magnus in
his study of trace algebras.
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