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Homological methods, representation theory, and cluster algebras

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Homological methods, representation theory, and cluster algebras/ edited by Ibrahim Assem, Sonia Trepode.
其他作者:	Assem, Ibrahim.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xi, 223 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Algebra, Homological. -
電子資源:	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
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