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008 120316e20120316sz fot ||| 0|eng d
020 _a9783037196083
024 7 0 _a10.4171/108
_2doi
040 _ach0018173
072 7 _aPBF
_2bicssc
084 _a18-xx
_a17-xx
_a57-xx
_2msc
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
300 _a1 online resource (128 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
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
999 _c50446
_d50446