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