TY  - BOOK
AU  - Mazorchuk,Volodymyr
AU  - Mazorchuk,Volodymyr
TI  - Lectures on Algebraic Categorification
T2  - The QGM Master Class Series (QGM)
SN  - 9783037196083
PY  - 2012///
CY  - Zuerich, Switzerland
PB  - European Mathematical Society Publishing House
KW  - Algebra
KW  - bicssc
KW  - Category theory; homological algebra
KW  - msc
KW  - Nonassociative rings and algebras
KW  - Manifolds and cell complexes
N1  - Restricted to subscribers
N2  - The 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
UR  - https://doi.org/10.4171/108
UR  - http://www.ems-ph.org/img/books/mazorchuk_mini.jpg
ER  -