000 | 04582nam a22005775i 4500 | ||
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001 | 978-3-642-30805-5 | ||
003 | DE-He213 | ||
005 | 20190213151858.0 | ||
007 | cr nn 008mamaa | ||
008 | 120724s2012 gw | s |||| 0|eng d | ||
020 |
_a9783642308055 _9978-3-642-30805-5 |
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024 | 7 |
_a10.1007/978-3-642-30805-5 _2doi |
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050 | 4 | _aQC793-793.5 | |
050 | 4 | _aQC174.45-174.52 | |
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082 | 0 | 4 |
_a539.72 _223 |
100 | 1 |
_aIshimori, Hajime. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 3 |
_aAn Introduction to Non-Abelian Discrete Symmetries for Particle Physicists _h[electronic resource] / _cby Hajime Ishimori, Tatsuo Kobayashi, Hiroshi Ohki, Hiroshi Okada, Yusuke Shimizu, Morimitsu Tanimoto. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2012. |
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300 |
_aXII, 283 p. 8 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Physics, _x0075-8450 ; _v858 |
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505 | 0 | _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. | |
520 | _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. | ||
650 | 0 | _aQuantum theory. | |
650 | 0 | _aMathematical physics. | |
650 | 0 | _aGroup theory. | |
650 | 1 | 4 |
_aElementary Particles, Quantum Field Theory. _0http://scigraph.springernature.com/things/product-market-codes/P23029 |
650 | 2 | 4 |
_aMathematical Methods in Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19013 |
650 | 2 | 4 |
_aMathematical Physics. _0http://scigraph.springernature.com/things/product-market-codes/M35000 |
650 | 2 | 4 |
_aGroup Theory and Generalizations. _0http://scigraph.springernature.com/things/product-market-codes/M11078 |
700 | 1 |
_aKobayashi, Tatsuo. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aOhki, Hiroshi. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
700 | 1 |
_aOkada, Hiroshi. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aShimizu, Yusuke. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aTanimoto, Morimitsu. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642308062 |
776 | 0 | 8 |
_iPrinted edition: _z9783642308048 |
830 | 0 |
_aLecture Notes in Physics, _x0075-8450 ; _v858 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-642-30805-5 |
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912 | _aZDB-2-LNP | ||
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