Pauli theorem in the description of n-dimensional spinors in the Clifford algebra formalism
@article{Shirokov2013PauliTI, title={Pauli theorem in the description of n-dimensional spinors in the Clifford algebra formalism}, author={D. Shirokov}, journal={Theoretical and Mathematical Physics}, year={2013}, volume={175}, pages={454-474} }
We discuss a generalized Pauli theorem and its possible applications for describing n-dimensional (Dirac, Weyl, Majorana, and Majorana-Weyl) spinors in the Clifford algebra formalism. We give the explicit form of elements that realize generalizations of Dirac, charge, and Majorana conjugations in the case of arbitrary space dimensions and signatures, using the notion of the Clifford algebra additional signature to describe conjugations. We show that the additional signature can take only… CONTINUE READING
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References
SHOWING 1-10 OF 32 REFERENCES
Concepts of trace, determinant and inverse of Clifford algebra elements
- Mathematics, Physics
- 2011
- 11
- PDF