000 | 02699nam a22004095a 4500 | ||
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001 | 148-120316 | ||
003 | CH-001817-3 | ||
005 | 20170613140807.0 | ||
006 | a fot ||| 0| | ||
007 | cr nn mmmmamaa | ||
008 | 120316e20120316sz fot ||| 0|eng d | ||
020 | _a9783037196083 | ||
024 | 7 | 0 |
_a10.4171/108 _2doi |
040 | _ach0018173 | ||
072 | 7 |
_aPBF _2bicssc |
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084 |
_a18-xx _a17-xx _a57-xx _2msc |
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100 | 1 |
_aMazorchuk, Volodymyr, _eauthor. |
|
245 | 1 | 0 |
_aLectures on Algebraic Categorification _h[electronic resource] / _cVolodymyr Mazorchuk |
260 | 3 |
_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2012 |
|
264 | 1 |
_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2012 |
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300 | _a1 online resource (128 pages) | ||
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 | 0 | _aThe QGM Master Class Series (QGM) | |
506 | 1 |
_aRestricted to subscribers: _uhttp://www.ems-ph.org/ebooks.php |
|
520 | _aThe term “categorification” was introduced by Louis Crane in 1995 and refers to the process of replacing set-theoretic notions by the corresponding category-theoretic analogues. This text mostly concentrates on algebraical aspects of the theory, presented in the historical perspective, but also contains several topological applications, in particular, an algebraic (or, more precisely, representation-theoretical) approach to categorification. It consists of fifteen sections corresponding to fifteen one-hour lectures given during a Master Class at Aarhus University, Denmark in October 2010. There are some exercises collected at the end of the text and a rather extensive list of references. Video recordings of all (but one) lectures are available from the Master Class website. The book provides an introductory overview of the subject rather than a fully detailed monograph. Emphasis is on definitions, examples and formulations of the results. Most proofs are either briefly outlined or omitted. However, complete proofs can be found by tracking references. It is assumed that the reader is familiar with the basics of category theory, representation theory, topology and Lie algebra. | ||
650 | 0 | 7 |
_aAlgebra _2bicssc |
650 | 0 | 7 |
_aCategory theory; homological algebra _2msc |
650 | 0 | 7 |
_aNonassociative rings and algebras _2msc |
650 | 0 | 7 |
_aManifolds and cell complexes _2msc |
700 | 1 |
_aMazorchuk, Volodymyr, _eauthor. |
|
856 | 4 | 0 | _uhttps://doi.org/10.4171/108 |
856 | 4 | 2 |
_3cover image _uhttp://www.ems-ph.org/img/books/mazorchuk_mini.jpg |
942 |
_2EBK13822 _cEBK |
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999 |
_c50446 _d50446 |