LEADER 05133nam 22007575 450 001 996466717503316 005 20200704191514.0 010 $a3-642-30805-8 024 7 $a10.1007/978-3-642-30805-5 035 $a(CKB)3400000000085868 035 $a(SSID)ssj0000746016 035 $a(PQKBManifestationID)11430130 035 $a(PQKBTitleCode)TC0000746016 035 $a(PQKBWorkID)10859631 035 $a(PQKB)10763688 035 $a(DE-He213)978-3-642-30805-5 035 $a(MiAaPQ)EBC3070478 035 $z(PPN)258846216 035 $a(PPN)168317753 035 $a(EXLCZ)993400000000085868 100 $a20120724d2012 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 13$aAn Introduction to Non-Abelian Discrete Symmetries for Particle Physicists$b[electronic resource] /$fby Hajime Ishimori, Tatsuo Kobayashi, Hiroshi Ohki, Hiroshi Okada, Yusuke Shimizu, Morimitsu Tanimoto 205 $a1st ed. 2012. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2012. 215 $a1 online resource (XII, 283 p. 8 illus.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v858 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-30804-X 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Basics of Finite Groups -- Subgroups and Decompositions of Multiplets -- Anomalies -- Non-Abelian Discrete Symmetry in Quark/Lepton Flavor Models -- Useful Theorems -- Representations of S4 in Different Bases -- Representations of A4 in Different Bases -- Representations of A5 in Different Bases -- Representations of T1 in Different Bases -- Other Smaller Groups -- References. 330 $aThese lecture notes provide a tutorial review of non-Abelian discrete groups and show some applications to issues in physics where discrete symmetries constitute an important principle for model building in particle physics.  While Abelian discrete symmetries are often imposed in order to control couplings for particle physics - in particular model building beyond the standard model -  non-Abelian discrete symmetries have been applied to understand the three-generation flavor structure in particular.  Indeed, non-Abelian discrete symmetries are considered to be the most attractive choice for the flavor sector: model builders have tried to derive experimental values of quark and lepton masses, and mixing angles by assuming non-Abelian discrete flavor symmetries of quarks and leptons, yet, lepton mixing has already been intensively discussed in this context, as well. The possible origins of the non-Abelian discrete symmetry for flavors is another topic of interest, as they can arise from an underlying theory - e.g. the string theory or compactification via orbifolding ? thereby providing a possible bridge between the underlying theory and the corresponding low-energy sector of particle physics.  This text explicitly introduces and studies the group-theoretical aspects of many concrete groups and shows how to derive conjugacy classes, characters, representations, and tensor products for these groups (with a finite number) when algebraic relations are given, thereby enabling readers to apply this to other groups of interest. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v858 606 $aElementary particles (Physics) 606 $aQuantum field theory 606 $aPhysics 606 $aMathematical physics 606 $aGroup theory 606 $aElementary Particles, Quantum Field Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P23029 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078 615 0$aElementary particles (Physics). 615 0$aQuantum field theory. 615 0$aPhysics. 615 0$aMathematical physics. 615 0$aGroup theory. 615 14$aElementary Particles, Quantum Field Theory. 615 24$aMathematical Methods in Physics. 615 24$aMathematical Physics. 615 24$aGroup Theory and Generalizations. 676 $a539.72 700 $aIshimori$b Hajime$4aut$4http://id.loc.gov/vocabulary/relators/aut$01062514 702 $aKobayashi$b Tatsuo$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aOhki$b Hiroshi$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aOkada$b Hiroshi$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aShimizu$b Yusuke$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aTanimoto$b Morimitsu$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a996466717503316 996 $aAn Introduction to Non-Abelian Discrete Symmetries for Particle Physicists$92526137 997 $aUNISA