Horadam Spinors

Spinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined as elements of a vector space which carries a linear representation of the Clifford algebra typically. The motivation for this study is to define a new and particular sequence. An essential feature of this s...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2024, Vol.2024, p.1-9
Main Author: Erişir, Tülay
Format: Article
Language:English
Subjects:
Euclidean space
Lie groups
Mathematicians
Quaternions
Representations
Vector spaces
Citations: Items that this one cites
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Summary:Spinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined as elements of a vector space which carries a linear representation of the Clifford algebra typically. The motivation for this study is to define a new and particular sequence. An essential feature of this sequence is that while a generalization is being made, spinors, which have a lot of use in physics, are used. This new sequence defined using spinor representations is called the Horadam spinor sequence; formulas such as the Binet formula, generating function formula, and Cassini formula are given. The Horadam spinors given in this study are a generalization of the spinor representations of Horadam quaternion sequences.
ISSN:2314-4629
2314-4785
DOI:10.1155/2024/6671745