Erratum to: Some Matrix Representations of Fibonacci Quaternions

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Applied Clifford Algebras. ERRATUM. Erratum to: Some Matrix Representations of Fibonacci Quaternions and Octonions. Serpil Halici. ∗ and Adnan Karatas.
Adv. Appl. Clifford Algebras c 2017 Springer International Publishing  DOI 10.1007/s00006-017-0792-0

Advances in Applied Clifford Algebras

ERRATUM

Erratum to: Some Matrix Representations of Fibonacci Quaternions and Octonions Serpil Halici∗ and Adnan Karata¸s

Erratum to: Adv. Appl. Clifford Algebras 27 (2017), 1233–1242 DOI 10.1007/s00006-016-0661-2 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 − pn 2 = (−1)n A1 , (ii) pn+1 ◦ pn−1 − pn 2 = (−1)n A2 , (iii) pn−1 ◦ pn+1 − pn 2 = (−1)n B1 , (iv) pn+1 ◦ pn−1 − pn 2 = (−1)n B2 . Correct version of Refs. [3, 4] and [10] are as follows, respectively.

References [1] Halici, S.: On complex Fibonacci quaternions. Adv. Appl. Clifford Algebr. 23(1), 105–112 (2013) [2] Halici, S.: On dual Fibonacci octonions. Adv. Appl. Clifford Algebr. 25(4), 905– 914 (2015) The online version of the original article can be found under doi:10.1007/s00006-016-0661-2. ∗ Corresponding author.

S. Halici and A. Karata¸s

Adv. Appl. Clifford Algebras

[3] Wells, A.: Moufang loops arising from Zorn vector matrix algebras. Comment. Math. Univ. Carol. 51(2), 371–388 (2010) Serpil Halici and Adnan Karata¸s Department of Mathematics, Faculty of Arts and Sciences Pamukkale University Denizli Turkey e-mail: [email protected] Adnan Karata¸s e-mail: [email protected]