LEADER 02626nam 22004335a 450 001 9910151927703321 005 20120316234500.0 010 $a3-03719-608-4 024 70$a10.4171/108 035 $a(CKB)3710000000953881 035 $a(CH-001817-3)148-120316 035 $a(PPN)178156086 035 $a(EXLCZ)993710000000953881 100 $a20120316j20120316 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLectures on Algebraic Categorification$b[electronic resource] /$fVolodymyr Mazorchuk 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2012 215 $a1 online resource (128 pages) 225 0 $aThe QGM Master Class Series (QGM) 330 $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. 606 $aAlgebra$2bicssc 606 $aCategory theory; homological algebra$2msc 606 $aNonassociative rings and algebras$2msc 606 $aManifolds and cell complexes$2msc 615 07$aAlgebra 615 07$aCategory theory; homological algebra 615 07$aNonassociative rings and algebras 615 07$aManifolds and cell complexes 686 $a18-xx$a17-xx$a57-xx$2msc 700 $aMazorchuk$b Volodymyr$01070776 801 0$bch0018173 906 $aBOOK 912 $a9910151927703321 996 $aLectures on Algebraic Categorification$92565017 997 $aUNINA