Trace identities from identities for determinants

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dc.creatorHumphries, Stephen
dc.creatorKrattenthaler, Christian
dc.date2004-11-03
dc.date.accessioned2026-07-07T06:22:18Z
dc.date.available2026-07-07T06:22:18Z
dc.descriptionWe 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.
dc.description14 pages, AmS-TeX
dc.identifierhttps://arxiv.org/abs/math/0411061
dc.identifierhttp://arxiv.org/abs/math/0411061
dc.identifierLinear Algebra Appl. 411 (2005), 328-342.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95870
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subjectRings and Algebras
dc.subjectPrimary 15A15; Secondary 13B25 20G20
dc.titleTrace identities from identities for determinants
dc.typetext

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