Non-commutative Sylvester's determinantal identity

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dc.creatorKonvalinka, Matjaz
dc.date2007-03-08
dc.date.accessioned2026-07-07T07:50:52Z
dc.date.available2026-07-07T07:50:52Z
dc.descriptionSylvester's identity is a classical determinantal identity with a straightforward linear algebra proof. We present a new, combinatorial proof of the identity, prove several non-commutative versions, and find a $β$-extension that is both a generalization of Sylvester's identity and the $β$-extension of the MacMahon master theorem.
dc.description28 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/0703213
dc.identifierhttp://arxiv.org/abs/math/0703213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125310
dc.subjectCombinatorics
dc.subject05A30, 15A15
dc.titleNon-commutative Sylvester's determinantal identity
dc.typetext

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