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Construction of a fermionic vacuum and the fermionic operators of creation and annihilation in the theory of algebraic spinors. / Monakhov, V. V.

In: Physics of Particles and Nuclei, Vol. 48, No. 5, 01.09.2017, p. 836-838.

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@article{eb65ad409fef42f997e855ca26a48867,
title = "Construction of a fermionic vacuum and the fermionic operators of creation and annihilation in the theory of algebraic spinors",
abstract = "In complex modules over real Clifford algebras of even dimension, fermionic variables, which are an analogue of the Witt basis, are introduced. Based on them, primitive idempotents are built which represent the equivalent Clifford vacua. It is shown that modules of algebras are decomposed into a direct sum of minimal left ideals, generated by these idempotents, and that fermionic variables can be considered as more fundamental mathematical objects than spinors.",
author = "Monakhov, {V. V.}",
year = "2017",
month = sep,
day = "1",
doi = "10.1134/S1063779617050318",
language = "English",
volume = "48",
pages = "836--838",
journal = "Physics of Particles and Nuclei",
issn = "1063-7796",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "5",

}

RIS

TY - JOUR

T1 - Construction of a fermionic vacuum and the fermionic operators of creation and annihilation in the theory of algebraic spinors

AU - Monakhov, V. V.

PY - 2017/9/1

Y1 - 2017/9/1

N2 - In complex modules over real Clifford algebras of even dimension, fermionic variables, which are an analogue of the Witt basis, are introduced. Based on them, primitive idempotents are built which represent the equivalent Clifford vacua. It is shown that modules of algebras are decomposed into a direct sum of minimal left ideals, generated by these idempotents, and that fermionic variables can be considered as more fundamental mathematical objects than spinors.

AB - In complex modules over real Clifford algebras of even dimension, fermionic variables, which are an analogue of the Witt basis, are introduced. Based on them, primitive idempotents are built which represent the equivalent Clifford vacua. It is shown that modules of algebras are decomposed into a direct sum of minimal left ideals, generated by these idempotents, and that fermionic variables can be considered as more fundamental mathematical objects than spinors.

UR - http://www.scopus.com/inward/record.url?scp=85028956690&partnerID=8YFLogxK

U2 - 10.1134/S1063779617050318

DO - 10.1134/S1063779617050318

M3 - Article

AN - SCOPUS:85028956690

VL - 48

SP - 836

EP - 838

JO - Physics of Particles and Nuclei

JF - Physics of Particles and Nuclei

SN - 1063-7796

IS - 5

ER -

ID: 9030176