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024 7 $a10.1007/978-3-319-74585-5
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035   $a(OCoLC)1066193152
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100   $a20180418d2018      u|         0
101 0 $aeng
135   $aurnn|008mamaa
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182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aHomological Methods, Representation Theory, and Cluster Algebras /$fedited by Ibrahim Assem, Sonia Trepode
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (XI, 223 p. 41 illus.) 
225 1 $aCRM Short Courses,$x2522-5200
311   $a3-319-74584-0 
327   $aIntroduction to the Representation Theory of  Finite-Dimensional Algebras: The Functorial Approach (M. I. Platzeck) -- Auslander?Reiten Theory for Finite-Dimensional Algebras  (P. Malicki).-  Cluster Algebras From Surfaces (R. Schiffler) -- Cluster Characters (P.-G. Plamondon) -- A Course on Cluster Tilted Algebras (I. Assem) -- Brauer Graph Algebras (S. Schroll). .
330   $aThis text presents six mini-courses, all devoted to interactions between representation theory of algebras, homological algebra, and the new ever-expanding theory of cluster algebras. The interplay between the topics discussed in this text will continue to grow and this collection of courses stands as a partial testimony to this new development. The courses are useful for any mathematician who would like to learn more about this rapidly developing field; the primary aim is to engage graduate students and young researchers. Prerequisites include knowledge of some noncommutative algebra or homological algebra. Homological algebra has always been considered as one of the main tools in the study of finite-dimensional algebras. The strong relationship with cluster algebras is more recent and has quickly established itself as one of the important highlights of today?s mathematical landscape. This connection has been fruitful to both areas?representation theory provides a categorification of cluster algebras, while the study of cluster algebras provides representation theory with new objects of study. The six mini-courses comprising this text were delivered March 7?18, 2016 at a CIMPA (Centre International de Mathématiques Pures et Appliquées) research school held at the Universidad Nacional de Mar del Plata, Argentina. This research school was dedicated to the founder of the Argentinian research group in representation theory, M.I. Platzeck.
410  0$aCRM Short Courses,$x2522-5200
606   $aCategory theory (Mathematics)
606   $aHomological algebra
606   $aCommutative algebra
606   $aCommutative rings
606   $aCombinatorics
606   $aCategory Theory, Homological Algebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11035
606   $aCommutative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11043
606   $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010
615  0$aCategory theory (Mathematics).
615  0$aHomological algebra.
615  0$aCommutative algebra.
615  0$aCommutative rings.
615  0$aCombinatorics.
615 14$aCategory Theory, Homological Algebra.
615 24$aCommutative Rings and Algebras.
615 24$aCombinatorics.
676   $a512.64
702   $aAssem$b Ibrahim$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aTrepode$b Sonia$4edt$4http://id.loc.gov/vocabulary/relators/edt
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300120803321
996   $aHomological Methods, Representation Theory, and Cluster Algebras$91564768
997   $aUNINA