Character table for the 1080-element point-group-like subgroup of SU(3)
Copyright policy )Character table for the 1080-element point-group-like subgroup of SU(3)
The character table for S(1080), the largest point-group-like subgroup of SU(3), is presented. So is the reduction of the first 28 SU(3) characters to S(1080) characters. These tables are needed in a recently proposed systematic description of SU(3)-invariant lattice gauge theories by effective S(1080)-invariant theories. Problems encountered in an alternative systematics, using only local S(1080)-invariant theories, are discussed.
Euclidean lattice, continuous gauge group, Applications of linear algebraic groups to the sciences, field theory, Quantum field theory on lattices, quarks, color symmetry, Supersymmetric field theories in quantum mechanics, Applications of Lie groups to the sciences; explicit representations, Minkowskian space-time, point-group-like subgroup, Quantum chromodynamics
Euclidean lattice, continuous gauge group, Applications of linear algebraic groups to the sciences, field theory, Quantum field theory on lattices, quarks, color symmetry, Supersymmetric field theories in quantum mechanics, Applications of Lie groups to the sciences; explicit representations, Minkowskian space-time, point-group-like subgroup, Quantum chromodynamics
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