Trace identities from identities for determinants

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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.
14 pages, AmS-TeX

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Commutative Algebra, Combinatorics, Rings and Algebras, Primary 15A15; Secondary 13B25 20G20

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http://salesiana.dossiersoluciones.com/handle/123456789/95870

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411061
 http://arxiv.org/abs/math/0411061
 Linear Algebra Appl. 411 (2005), 328-342.

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arXiv