This material has been published in Linear Algebra Appl. 411 (2005), 328-342, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by Elsevier B.V. This material may not be copied or reposted without explicit permission.

Stephen Humphries and Christian Krattenthaler

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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