CP (CHARGE CONJUGATION PARITY) VIOLATION
CONTENTS INTRODUCTION REFERENCES BASICS OF FINITE GROUPS REFERENCE DN WITH N = EVEN DN WITH N = ODD QN WITH N = 4N QN WITH N = 4N + 2 Q D2N GENERIC ASPECTS QD16 ?(2N2) ?(18) ?(32) ?(50) ?(3N2) ?(3N 2) WITH N/3 ?= INTEGER ?(3N 2) WITH N/3 = INTEGER ?(27) ?(48) CONJUGACY CLASSES AND TENSOR PRODUCTS THE DIFFERENT BASES OF ?(48) T13 GROUP THEORY T19 GROUP THEORY ?(3N3) ?(81) ?(6N2) ?(6N 2) WITH N/3 ?= INTEGER ?(6N 2) WITH N/3 = INTEGER ?(54) ?(96) CONJUGACY CLASSES CHARACTERS AND REPRESENTATIONS TENSOR PRODUCTS SUBGROUPS AND DECOMPOSITIONS OF MULTIPLETS T ? GENERAL DN GENERAL QN QD2N GENERAL (2N 2) (32) GENERAL ?(3N 2) GENERAL TN GENERAL (3N 3) (81) GENERAL ?(6N 2) FINITE SUBGROUPS OF CONTINUOUS GROUPS FINITE SUBGROUPS OF SO(3) SO(3) ?DN SO(3) ?S4 FINITE SUBGROUPS OF SU(2) SU(2) ?QN SU(2) ?T ? FINITE SUBGROUPS OF SU(3) SU(3) ?A4 SU(3) ?A5 SU(3) ?S4 SU(3) ?DN SU(3) ?T ? SU(3) ??(3N 2) SU(3) ??(6N 2) MODULAR SYMMETRY AUTOMORPHISM Z2 × Z? 2 ANOMALIES EXPLICIT CALCULATIONS COMMENTS ON ANOMALIES NON-ABELIAN DISCRETE SYMMETRY IN QUARK/LEPTON FLAVOR MODELS NEUTRINO FLAVOR MIXING AND NEUTRINO MASS MATRIX A4 FLAVOR SYMMETRY REALIZING THE TRI-BIMAXIMAL MIXING OF FLAVORS BREAKING TRI-BIMAXIMAL MIXING S4 FLAVOR MODEL ALTERNATIVE FLAVOR MIXING MODULAR A4 INVARIANCE AND NEUTRINO MIXING COMMENTS ON OTHER APPLICATIONS COMMENT ON ORIGINS OF FLAVOR SYMMETRIES GENERALIZED CP SYMMETRY CP TRANSFORMATION IN FLAVOR SPACE CP VIOLATING PHASE AND ITS GROUP THEORETICAL ORIGIN MODULAR SYMMETRY WITH GENERALIZED CP SYMMETRY CP TRANSFORMATION OF THE MODULUS ? CP TRANSFORMATION OF MODULAR MULTIPLETS CP VIOLATION BY MODULUS ? IN A4 MODEL OF LEPTONS