國立虎尾科技大學 |

Homological methods, representation theory, and cluster algebras

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Homological methods, representation theory, and cluster algebras/ edited by Ibrahim Assem, Sonia Trepode.
other author:	Assem, Ibrahim.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xi, 223 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Algebra, Homological. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-74585-5
ISBN:	9783319745855

Homological methods, representation theory, and cluster algebras
Homological methods, representation theory, and cluster algebras[electronic resource] /edited by Ibrahim Assem, Sonia Trepode. - Cham :Springer International Publishing :2018. - xi, 223 p. :ill., digital ;24 cm. - CRM short courses,2522-5200. - CRM short courses..

This 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 Mathematiques Pures et Appliquees) 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.

ISBN: 9783319745855

Standard No.: 10.1007/978-3-319-74585-5doiSubjects--Topical Terms:

672614
Algebra, Homological.

LC Class. No.: QA169

Dewey Class. No.: 512.64

Homological methods, representation theory, and cluster algebras
LDR:02477nam a2200325 a 4500 001 925867
003 DE-He213
005 20180418182333.0
006 m d
007 cr nn 008maaau
008 190625s2018 gw s 0 eng d
020 $a 9783319745855 $q (electronic bk.)
020 $a 9783319745848 $q (paper)
024 7 $a 10.1007/978-3-319-74585-5 $2 doi
035 $a 978-3-319-74585-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA169
072 7 $a PBC $2 bicssc
072 7 $a PBF $2 bicssc
072 7 $a MAT002010 $2 bisacsh
082 0 4 $a 512.64 $2 23
090 $a QA169 $b .H768 2018
245 0 0 $a Homological methods, representation theory, and cluster algebras $h [electronic resource] / $c edited by Ibrahim Assem, Sonia Trepode.
260 $a Cham : $c 2018. $b Springer International Publishing : $b Imprint: Springer,
300 $a xi, 223 p. : $b ill., digital ; $c 24 cm.
490 1 $a CRM short courses, $x 2522-5200
520 $a This 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 Mathematiques Pures et Appliquees) 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.
650 0 $a Algebra, Homological. $3 672614
650 0 $a Representations of algebras. $3 902229
650 0 $a Cluster algebras. $3 1203938
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Category Theory, Homological Algebra. $3 678397
650 2 4 $a Commutative Rings and Algebras. $3 672054
650 2 4 $a Combinatorics. $3 669353
700 1 $a Assem, Ibrahim. $3 1203936
700 1 $a Trepode, Sonia. $3 1203937
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a CRM short courses. $3 1197538
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-74585-5
950 $a Mathematics and Statistics (Springer-11649)