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Determinants in Jordan matrix algebras

dc.contributor.authorHamhalter, Jan
dc.contributor.authorKalenda, Ondrej F. K.
dc.contributor.authorPeralta Pereira, Antonio Miguel 
dc.date.accessioned2022-04-08T12:23:59Z
dc.date.available2022-04-08T12:23:59Z
dc.date.issued2022-02-23
dc.identifier.citationPublished version: Hamhalter, J., Kalenda, O. F., & Peralta, A. M. (2022). Determinants in Jordan matrix algebras. Linear and Multilinear Algebra, 1-42. [https://doi.org/10.1080/03081087.2022.2049187]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/74294
dc.descriptionAcknowledgements The first author was supported by the project OPVVV CAAS CZ.02.1.01/0.0/0.0/16 019/0000778. Third author partially supported by MCIN / AEI / 10. 13039 / 501100011033 / FEDER “Una manera de hacer Europa” project no. PGC2018-093332-B-I00, Junta de Andalucía grants FQM375, A-FQM- 242-UGR18 and PY20 00255, and by the IMAG–María de Maeztu grant CEX2020- 001105-M / AEI / 10.13039 / 501100011033.es_ES
dc.description.abstractWe introduce a natural notion of determinant in matrix JB∗-algebras, i.e., for hermitian matrices of biquaternions and for hermitian 3×3 matrices of complex octonions. We establish several properties of these determinants which are useful to understand the structure of the Cartan factor of type 6. As a tool we provide an explicit description of minimal projections in the Cartan factor of type 6 and a variety of its automorphisms.es_ES
dc.description.sponsorshipProject OPVVV CAAS CZ.02.1.01/0.0/0.0/16 019/0000778es_ES
dc.description.sponsorshipMCIN/AEI/10.13039/501100011033/FEDER “Una manera de hacer Europa” project no. PGC2018-093332-B-I00es_ES
dc.description.sponsorshipJunta de Andalucía grants FQM375, A-FQM- 242-UGR18 and PY20 00255es_ES
dc.description.sponsorshipIMAG–María de Maeztu grant CEX2020-001105-M/AEI/10.13039/501100011033es_ES
dc.language.isoenges_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.titleDeterminants in Jordan matrix algebrases_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1080/03081087.2022.2049187
dc.type.hasVersionSMURes_ES


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