@misc{10481/74294, year = {2022}, month = {2}, url = {http://hdl.handle.net/10481/74294}, abstract = {We 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.}, organization = {Project OPVVV CAAS CZ.02.1.01/0.0/0.0/16 019/0000778}, organization = {MCIN/AEI/10.13039/501100011033/FEDER “Una manera de hacer Europa” project no. PGC2018-093332-B-I00}, organization = {Junta de Andalucía grants FQM375, A-FQM- 242-UGR18 and PY20 00255}, organization = {IMAG–María de Maeztu grant CEX2020-001105-M/AEI/10.13039/501100011033}, title = {Determinants in Jordan matrix algebras}, doi = {10.1080/03081087.2022.2049187}, author = {Hamhalter, Jan and Kalenda, Ondrej F. K. and Peralta Pereira, Antonio Miguel}, }