| 000 | 03656nam a22005535i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-47611-5 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151342.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s1993 gw | s |||| 0|eng d | ||
| 020 |
_a9783540476115 _9978-3-540-47611-5 |
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| 024 | 7 |
_a10.1007/BFb0084244 _2doi |
|
| 050 | 4 | _aQA612.33 | |
| 072 | 7 |
_aPBPD _2bicssc |
|
| 072 | 7 |
_aMAT002010 _2bisacsh |
|
| 072 | 7 |
_aPBPD _2thema |
|
| 082 | 0 | 4 |
_a512.66 _223 |
| 100 | 1 |
_aFröhlich, Jürg. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 245 | 1 | 0 |
_aQuantum Groups, Quantum Categories and Quantum Field Theory _h[electronic resource] / _cby Jürg Fröhlich, Thomas Kerler. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1993. |
|
| 300 |
_aVIII, 432 p. _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 |
||
| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1542 |
|
| 505 | 0 | _aand survey of results -- Local quantum theory with braid group statistics -- Superselection sectors and the structure of fusion rule algebras -- Hopf algebras and quantum groups at roots of unity -- Representation theory of U q red (s? 2) -- Path representations of the braid groups for quantum groups at roots of unity -- Duality theory for local quantum theories, dimensions and balancing in quantum categories -- The quantum categories with a generator of dimension less than two. | |
| 520 | _aThis book reviews recent results on low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced tensor categories. It presents detailed, mathematically precise introductions to these subjects and then continues with new results. Among the main results are a detailed analysis of the representation theory of U (sl ), for q a primitive root of unity, and a semi-simple quotient thereof, a classfication of braided tensor categories generated by an object of q-dimension less than two, and an application of these results to the theory of sectors in algebraic quantum field theory. This clarifies the notion of "quantized symmetries" in quantum fieldtheory. The reader is expected to be familiar with basic notions and resultsin algebra. The book is intended for research mathematicians, mathematical physicists and graduate students. | ||
| 650 | 0 | _aK-theory. | |
| 650 | 0 | _aGroup theory. | |
| 650 | 0 | _aGlobal analysis (Mathematics). | |
| 650 | 0 | _aQuantum theory. | |
| 650 | 1 | 4 |
_aK-Theory. _0http://scigraph.springernature.com/things/product-market-codes/M11086 |
| 650 | 2 | 4 |
_aGroup Theory and Generalizations. _0http://scigraph.springernature.com/things/product-market-codes/M11078 |
| 650 | 2 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
| 650 | 2 | 4 |
_aQuantum Information Technology, Spintronics. _0http://scigraph.springernature.com/things/product-market-codes/P31070 |
| 650 | 2 | 4 |
_aQuantum Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19080 |
| 700 | 1 |
_aKerler, Thomas. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783662185827 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540566236 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1542 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0084244 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 912 | _aZDB-2-BAE | ||
| 999 |
_c10376 _d10376 |
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