Triangulated Categories in Representation Theory and Beyond - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Triangulated Categories in Representation Theory and Beyond write by Petter Andreas Bergh. This book was released on . Triangulated Categories in Representation Theory and Beyond available in PDF, EPUB and Kindle.
Triangulated Categories in Representation Theory and Beyond
Triangulated Categories in Representation Theory and Beyond - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Triangulated Categories in Representation Theory and Beyond write by Petter Andreas Bergh. This book was released on 2024-08-21. Triangulated Categories in Representation Theory and Beyond available in PDF, EPUB and Kindle. In recent years, triangulated categories have proved very successful as a common mathematical framework for formulating important advances in various fields, and at the same time for the interaction between different subject areas. The purpose of the symposium was therefore not only the study of triangulated categories in itself, but rather fruitful exchanges between disciplines. The symposium brought together established researchers who have made important contributions involving triangulated categories. Many participants came from representation theory, but there were also participants with backgrounds in commutative algebra, geometry and algebraic topology.
Representation Theory and Beyond
Representation Theory and Beyond - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representation Theory and Beyond write by Jan Šťovíček. This book was released on 2020-11-13. Representation Theory and Beyond available in PDF, EPUB and Kindle. This volume contains the proceedings of the Workshop and 18th International Conference on Representations of Algebras (ICRA 2018) held from August 8–17, 2018, in Prague, Czech Republic. It presents several themes of contemporary representation theory together with some new tools, such as stable ∞ ∞-categories, stable derivators, and contramodules. In the first part, expanded lecture notes of four courses delivered at the workshop are presented, covering the representation theory of finite sets with correspondences, geometric theory of quiver Grassmannians, recent applications of contramodules to tilting theory, as well as symmetries in the representation theory over an abstract stable homotopy theory. The second part consists of six more-advanced papers based on plenary talks of the conference, presenting selected topics from contemporary representation theory: recollements and purity, maximal green sequences, cohomological Hall algebras, Hochschild cohomology of associative algebras, cohomology of local selfinjective algebras, and the higher Auslander–Reiten theory studied via homotopy theory.
Homological Theory of Representations
Homological Theory of Representations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Homological Theory of Representations write by Henning Krause. This book was released on 2021-11-18. Homological Theory of Representations available in PDF, EPUB and Kindle. 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.
Triangulated Categories in Modular Representation Theory and Their Direct Sum Decompositions
Triangulated Categories in Modular Representation Theory and Their Direct Sum Decompositions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Triangulated Categories in Modular Representation Theory and Their Direct Sum Decompositions write by Martin Hauge. This book was released on 2017. Triangulated Categories in Modular Representation Theory and Their Direct Sum Decompositions available in PDF, EPUB and Kindle.
