Abstract
A metric description of symmetric Riemannian spaces is needed for constructing gauge fields with a symmetry. We describe the group SU 3 as a Riemannian space for two different parameterizations and develop a Hamiltonian technique for constructing quotient spaces. We construct the quotient spaces of the group SU 3, namely, the six-dimensional quotient space (\(SU_3 /O_2^2 \)), the five-dimensional quotient space (SU 3/O 3), and the two four-dimensional quotient spaces (\(SU_3 /O_2^4 \)) and (SU 3/O 3/O 2).
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Burlankov, D.E. The SU 3 Space and Its Quotient Spaces. Theoretical and Mathematical Physics 138, 78–87 (2004). https://doi.org/10.1023/B:TAMP.0000010635.52704.c8
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DOI: https://doi.org/10.1023/B:TAMP.0000010635.52704.c8