θ-deformed multi-dimensional fermion algebras

A. Peker Dobie

doi:10.1209/0295-5075/132/40004

θ-deformed multi-dimensional fermion algebras

A. Peker Dobie^*

^*Corresponding author for this work

Department of Mathematics Engineering

Kadir Has University

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	40004
Journal	Europhysics Letters
Volume	132
Issue number	4
DOIs	https://doi.org/10.1209/0295-5075/132/40004
Publication status	Published - Oct 2020

Bibliographical note

Publisher Copyright:
Copyright © 2021 EPLA

Access to Document

10.1209/0295-5075/132/40004

Cite this

@article{3dc4b188724a4a22b7e824927749c70b,

title = "θ-deformed multi-dimensional fermion algebras",

abstract = "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.",

author = "{Peker Dobie}, A.",

note = "Publisher Copyright: Copyright {\textcopyright} 2021 EPLA",

year = "2020",

month = oct,

doi = "10.1209/0295-5075/132/40004",

language = "English",

volume = "132",

journal = "Europhysics Letters",

issn = "0295-5075",

publisher = "IOP Publishing Ltd.",

number = "4",

}

TY - JOUR

T1 - θ-deformed multi-dimensional fermion algebras

AU - Peker Dobie, A.

PY - 2020/10

Y1 - 2020/10

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85099933399&partnerID=8YFLogxK

U2 - 10.1209/0295-5075/132/40004

DO - 10.1209/0295-5075/132/40004

M3 - Article

AN - SCOPUS:85099933399

SN - 0295-5075

VL - 132

JO - Europhysics Letters

JF - Europhysics Letters

IS - 4

M1 - 40004

ER -

θ-deformed multi-dimensional fermion algebras

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this