02501nam a22003615a 4500001001100000003001200011005001700023006001900040007001500059008004100074020001800115024002100133040001400154072001600168084002900184100003500213245008900248260008200337300003400419336002600453337002600479338003600505347002400541490003800565506006600603520122200669650002001891650004601911650004301957650003802000856003202038856006902070148-120316CH-001817-320120316234500.0a fot ||| 0|cr nn mmmmamaa120316e20120316sz fot ||| 0|eng d a978303719608370a10.4171/1082doi ach0018173 7aPBF2bicssc a18-xxa17-xxa57-xx2msc1 aMazorchuk, Volodymyr,eauthor.10aLectures on Algebraic Categorificationh[electronic resource] /cVolodymyr Mazorchuk3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2012 a1 online resource (128 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aThe QGM Master Class Series (QGM)1 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php 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.07aAlgebra2bicssc07aCategory theory; homological algebra2msc07aNonassociative rings and algebras2msc07aManifolds and cell complexes2msc40uhttps://doi.org/10.4171/108423cover imageuhttps://www.ems-ph.org/img/books/mazorchuk_mini.jpg