7 citations · 20 across the 6 of their papers we have counts for
20 papers
The CPT Group in the de Sitter Space
V. V. Varlamov
-, -, -transformations of the Dirac field in the de Sitter space are studied in the framework of an automorphism set of Clifford algebras. Finite group structure of the di…
Universal Coverings of the Orthogonal Groups
V. V. Varlamov
Universal coverings of the orthogonal groups and their extensions are studied in terms of Clifford-Lipschitz groups. An algebraic description of basic discrete symmetries (space in…
Hyperspherical Functions and Harmonic Analysis on the Lorentz Group
V. V. Varlamov
Matrix elements of spinor and principal series representations of the Lorentz group are studied in the basis of complex angular momentum (helicity basis). It is shown that matrix e…
Group Theoretical Interpretation of the CPT-theorem
V. V. Varlamov
An algebraic description of basic discrete symmetries (space inversion P, time reversal T, charge conjugation C and their combinations PT, CP, CT, CPT) is studied. Discrete subgrou…
Relativistic Wave Equations in the Helicity Basis
V. V. Varlamov
The principal series of unitary representations of the Lorentz group has been considered in the helicity basis. Decompositions of tensor products of the spinspaces are studied in t…
General Solutions of Relativistic Wave Equations
V. V. Varlamov
General solutions of relativistic wave equations are studied in terms of the functions on the Lorentz group. A close relationship between hyperspherical functions and matrix elemen…