Erratum to: Some Matrix Representations of Fibonacci Quaternions and Octonions (Advances in Applied Clifford Algebras, (2017), 27, 2, (1233-1242), 10.1007/s00006-016-0661-2)

Abstract

Unfortunately, Corollary 3.4 and Refs. [3, 4, 10] has been published incorrectly. Correct version of Corollary 3.4 is as follows. Corollary 3.4. From different matrix representations, the following Cassini identities are obtained:(i) pn?1 ? pn+1 ? pn2 = (?1)nA1, (ii) pn+1 ? pn?1 ? pn2 = (?1)nA2, (iii) pn?1 ? pn+1 ? pn2 = (?1)nB1,(iv) pn+1 ? pn?1 ? pn2 = (?1)nB2. Correct version of Refs. [3, 4] and [10] are as follows, respectively. © 2017 Springer International Publishing.