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Spinor Structure and Matter Spectrum
V. V. Varlamov
Classification of relativistic wave equations is given on the ground of interlocking representations of the Lorentz group. A system of interlocking representations is associated wi…
Spinor Structure and Internal Symmetries
V. V. Varlamov
Spinor structure and internal symmetries are considered within one theoretical framework based on the generalized spin and abstract Hilbert space. Complex momentum is understood as…
CPT Groups of Spinor Fields in de Sitter and Anti-de Sitter Spaces
V. V. Varlamov
groups for spinor fields in de Sitter and anti-de Sitter spaces are defined in the framework of automorphism groups of Clifford algebras. It is shown that de Sitter spaces wi…
Cyclic structures of Cliffordian supergroups and particle representations of Spin_+(1,3)
V. V. Varlamov
Supergroups are defined in the framework of $\dZ_2$-graded Clifford algebras over the fields of real and complex numbers, respectively. It is shown that cyclic structures of comple…
CPT groups of higher spin fields
V. V. Varlamov
groups of higher spin fields are defined in the framework of automorphism groups of Clifford algebras associated with the complex representations of the proper orthochronous…
Spherical functions on the de Sitter group
V. V. Varlamov
Matrix elements and spherical functions of irreducible representations of the de Sitter group are studied on the various homogeneous spaces of this group. It is shown that a univer…