Volume 132, Number 4, November 2020
|Number of page(s)||4|
|Published online||04 January 2021|
θ-deformed multi-dimensional fermion algebras
Department of Mathematics, Istanbul Technical University - Maslak, Istanbul, Turkey and Faculty of Engineering and Natural Sciences, Kadir Has University - Istanbul, Turkey
Received: 16 August 2020
Accepted: 4 December 2020
The conventional d-dimensional fermion algebra does not have a Hopf algebra structure. It is shown that this algebra can be deformed by introducing angular elements and by combining the commutative sine-cosine algebra with the Clifford algebra so that the resulting d-dimensional fermion algebra is a Hopf algebra.
PACS: 02.20.Uw – Quantum groups / 02.10.Hh – Rings and algebras
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