TY - JOUR
T1 - Flavor group Δ (3 n2)
AU - Luhn, Christoph
AU - Nasri, Salah
AU - Ramond, Pierre
N1 - Funding Information:
The work of one of the authors (C.L.) is supported by the University of Florida through the Institute for Fundamental Theory and that of two of the authors (S.N. and P.R.) is supported by the Department of Energy Grant No. DE-FG02-97ER41029. 1
PY - 2007
Y1 - 2007
N2 - The large neutrino mixing angles have generated interest in finite subgroups of SU(3), as clues towards understanding the flavor structure of the standard model. In this work, we study the mathematical structure of the simplest non-Abelian subgroup, Δ (3 n2). Using simple mathematical techniques, we derive its conjugacy classes and character table, and build its irreducible representations, their Kronecker products, and its invariants.
AB - The large neutrino mixing angles have generated interest in finite subgroups of SU(3), as clues towards understanding the flavor structure of the standard model. In this work, we study the mathematical structure of the simplest non-Abelian subgroup, Δ (3 n2). Using simple mathematical techniques, we derive its conjugacy classes and character table, and build its irreducible representations, their Kronecker products, and its invariants.
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U2 - 10.1063/1.2734865
DO - 10.1063/1.2734865
M3 - Article
AN - SCOPUS:34547585123
SN - 0022-2488
VL - 48
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
IS - 7
M1 - 073501
ER -