Sextonions, Zorn matrices, and e(71/2)

作者:Marrani Alessio*; Truini Piero
来源:Letters in Mathematical Physics, 2017, 107(10): 1859-1875.
DOI:10.1007/s11005-017-0966-7

摘要

By exploiting suitably constrained Zorn matrices, we present a new construction of the algebra of sextonions (over the algebraically closed field ). This allows for an explicit construction, in terms of Jordan pairs, of the non-semisimple Lie algebra , intermediate between and , as well as of all Lie algebras occurring in the sextonionic row and column of the extended Freudenthal Magic Square.

  • 出版日期2017-10