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Author: Lidia Angeleri Hügel
Publisher: Cambridge University Press
Published: 2007-01-04
Total Pages: 482
ISBN-13: 9780521680455
DOWNLOAD EBOOK →A handbook of key articles providing both an introduction and reference for newcomers and experts alike.
Author: Alex Martsinkovsky
Publisher: American Mathematical Soc.
Published: 2016-08-26
Total Pages: 249
ISBN-13: 1470419556
DOWNLOAD EBOOK →This volume contains selected expository lectures delivered at the Maurice Auslander Distinguished Lectures and International Conference, held May 1–6, 2014, at the Woods Hole Oceanographic Institute, Woods Hole, MA. Several significant developments of the last decade in representation theory of finite-dimensional algebras are related to combinatorics. Three of the five lectures in this volume deal, respectively, with the Catalan combinatorics, the combinatorics of Gelfand-Zetlin polytopes, and the combinatorics of tilting modules. The remaining papers present history and recent advances in the study of left orders in left Artinian rings and a survey on invariant theory of Artin-Schelter regular algebras.
Author: Sergei D. Silvestrov
Publisher: Springer Science & Business Media
Published: 2008-11-18
Total Pages: 308
ISBN-13: 3540853324
DOWNLOAD EBOOK →This book explores the cutting edge of the fundamental role of generalizations of Lie theory and related non-commutative and non-associative structures in mathematics and physics.
Author: Henning Krause
Publisher: Cambridge University Press
Published: 2021-11-18
Total Pages: 518
ISBN-13: 1108985815
DOWNLOAD EBOOK →Modern developments in representation theory rely heavily on homological methods. This book for advanced graduate students and researchers introduces these methods from their foundations up and discusses several landmark results that illustrate their power and beauty. Categorical foundations include abelian and derived categories, with an emphasis on localisation, spectra, and purity. The representation theoretic focus is on module categories of Artin algebras, with discussions of the representation theory of finite groups and finite quivers. Also covered are Gorenstein and quasi-hereditary algebras, including Schur algebras, which model polynomial representations of general linear groups, and the Morita theory of derived categories via tilting objects. The final part is devoted to a systematic introduction to the theory of purity for locally finitely presented categories, covering pure-injectives, definable subcategories, and Ziegler spectra. With its clear, detailed exposition of important topics in modern representation theory, many of which were unavailable in one volume until now, it deserves a place in every representation theorist's library.
Author: David Jordan
Publisher: Cambridge University Press
Published: 2023-07-31
Total Pages: 408
ISBN-13: 1009103474
DOWNLOAD EBOOK →Expanding upon the material delivered during the LMS Autumn Algebra School 2020, this volume reflects the fruitful connections between different aspects of representation theory. Each survey article addresses a specific subject from a modern angle, beginning with an exploration of the representation theory of associative algebras, followed by the coverage of important developments in Lie theory in the past two decades, before the final sections introduce the reader to three strikingly different aspects of group theory. Written at a level suitable for graduate students and researchers in related fields, this book provides pure mathematicians with a springboard into the vast and growing literature in each area.
Author: Lutz Strungmann
Publisher: American Mathematical Soc.
Published: 2012
Total Pages: 336
ISBN-13: 082186923X
DOWNLOAD EBOOK →Contains the proceedings of the conference Groups and Model Theory, held 2011, in Ruhr, Germany. Articles cover abelian groups, modules over commutative rings, permutation groups, automorphism groups of homogeneous structures such as graphs, relational structures, geometries, topological spaces or groups, consequences of model theoretic properties like stability or categoricity, subgroups of small index, the automorphism tower problem, as well as random constructions.
Author: Alexander Martsinkovsky
Publisher: Springer Nature
Published:
Total Pages: 256
ISBN-13: 3031530632
DOWNLOAD EBOOK →Author: Kiyoshi Igusa
Publisher: American Mathematical Soc.
Published: 2014-01-16
Total Pages: 236
ISBN-13: 0821891405
DOWNLOAD EBOOK →This volume contains the proceedings of the Maurice Auslander Distinguished Lectures and International Conference, held April 25-30, 2012, in Falmouth, MA. The representation theory of finite dimensional algebras and related topics, especially cluster combinatorics, is a very active topic of research. This volume contains papers covering both the history and the latest developments in this topic. In particular, Otto Kerner gives a review of basic theorems and latest results about wild hereditary algebras, Yuri Berest develops the theory of derived representation schemes, and Markus Schmidmeier presents new applications of arc diagrams.
Author: Kailash C. Misra
Publisher: American Mathematical Soc.
Published: 2012
Total Pages: 330
ISBN-13: 0821869175
DOWNLOAD EBOOK →This book contains the proceedings of the 2009-2011 Southeastern Lie Theory Workshop Series, held October 9-11, 2009 at North Carolina State University, May 22-24, 2010, at the University of Georgia, and June 1-4, 2011 at the University of Virginia. Some of the articles, written by experts in the field, survey recent developments while others include new results in Lie algebras, quantum groups, finite groups, and algebraic groups.
Author: Ibrahim Assem
Publisher: American Mathematical Soc.
Published: 2021-01-06
Total Pages: 257
ISBN-13: 147045159X
DOWNLOAD EBOOK →The Seventh ARTA (“Advances in Representation Theory of Algebras VII”) conference took place at the Instituto de Matemáticas of the Universidad Nacional Autónoma de México, in Mexico City, from September 24–28, 2018, in honor of José Antonio de la Peña's 60th birthday. Papers in this volume cover topics Professor de la Peña worked on, such as covering theory, tame algebras, and the use of quadratic forms in representation theory. Also included are papers on the categorical approach to representations of algebras and relations to Lie theory, Cohen–Macaulay modules, quantum groups and other algebraic structures.
