A relationship between Cayley-Dickson process and the generalized Study determinant

DOI10.4134/CKMS.c200256OpenAlexW3211337674MaRDI QIDQ5164374

Laurence Petrus Wijaya, Pritta Etriana Putri

Publication date: 11 November 2021

Full work available at URL: https://pdf.medrang.co.kr/kms01/CKMS/36/CKMS-36-3-413-422.pdf

zbMATH Keywords

Cayley-Dickson processStudy determinantinvolutive anti-automorphism ring

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Composition algebras (17A75)

Cites Work

• Cayley-Dickson procedure, relativistic wave equations and supersymmetric oscillators
• Some identities in algebras obtained by the Cayley-Dickson process
• Quasi-associativity and Cayley-Dickson algebras
• About some properties of algebras obtained by the Cayley-Dickson process
• Lagrange Identity for Polynomials and δ-Codes of Lengths 7t and 13t
• Study-type determinants and their properties