Handbook of tilting theory
In mathematics, specifically representation theory, tilting theory describes a way to relate the module categories of two algebras using so-called tilting modules and associated tilting functors. Here, the second algebra is the endomorphism algebra of a tilting module over the first algebra. Tilting theory was motivated by the introduction of reflection functors by Joseph Bernšteĭn, Israel Gelfand, and V. A. Ponomarev (1973); these functors were used to relate representations of two WebTilting theory originates in the representation theory of finite dimensional algebras. Today the subject is of much interest in various areas of mathematics, such as finite and …
Handbook of tilting theory
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WebSep 1, 2024 · In the introduction to the Handbook of Tilting Theory [2], the authors state the following: ‘‘Tilting theory arises as a universal method for con-structing equivalences between categories ... WebMay 25, 2010 · Abstract. We review the basic definitions of derived categories and derived functors. We illustrate them on simple but non trivial examples. Then we explain Happel's …
WebJan 1, 2007 · The aim of this book is to present the basic concepts of tilting theory as well as the variety of applications. It contains a collection of key articles, which together form … WebThe aim of this book is to present the basic concepts of tilting theory as well as the variety of applications. It contains a collection of key articles, which together form a handbook …
WebarXiv:math/0605712v1 [math.RT] 28 May 2006 Some Remarks Concerning Tilting Modules and Tilted Algebras. Origin. Relevance. Future. (An appendix to the Handbook of Tilting Theory) WebFinite and Algorithmic Model Theory. Finite and Algorithmic Model Theory. Uploaded by queensandaces. 100% (2) 100% found this document useful (2 votes) 225 views. 356 pages. ... ULI & M.J. TODD (eds) 332 Handbook of tilting theory, L. ANGELERI H. UGEL, D. HAPPEL & H. KRAUSE (eds)
WebMay 25, 2010 · The first purely algebro-geometric derived equivalence seems to appear in [54] where is it is shown that an abelian variety A and its dual  have equivalent …
WebSelect search scope, currently: catalog all catalog, articles, website, & more in one search; catalog books, media & more in the Stanford Libraries' collections; articles+ journal … jimi hendrix born under a bad sign bass tabsWebJul 3, 2024 · The theory of finitely generated relative (co)tilting modules has been established in the 1980s by Auslander and Solberg, and infinitely generated relative tilting modules have recently been studied by many authors in the context of Gorenstein homological algebra. jimi hendrix - both sides of the skyWebhandbook of tilting theory [2]. Since then many more generalizations were found, e.g. the later discussed recent works [30], [23], [26]. For exact categories: The first occurrence in [4] is tilting objects in exact substructures of mod−Λ for an artin algebra Λ. In [20], chapter 7, a tilting object in an exact category is defined jimi hendrix both sides of the sky reviewWebPart 1 will provide an outline of this core of tilting theory. Part 2 will then be devoted to topics where tilting modules and tilted algebras have shown to be relevant. I have to apologize that these parts will repeat some of the considerations of various chapters of the Handbook, but such a condensed version may be helpful as a sort of guideline. jimi hendrix born in what stateWebthe time the Handbook was conceived, there was a general consensus about the overall frame of tilting theory, with the tilted algebra as the core, surrounded by a lot of additional considerations and with many applications in algebra and geometry. One was still looking forward to further generalizations (say something like “pre-semi-tilting ... jimi hendrix born in texasWebL. Angeleri —Hügel, D. Happel and H. Krause, Handbook of Tilting Theory, London Mathematical Society Lecture Note Series 332, Cambridge University Press, Cambridge 2007. Google Scholar L. Angeleri Hügel, A. Tonolo and J.Trlifaj, Tilting preenvelopes and cotilting precovers, Algebra and Representation Theory 4 (2001), 155–170 jimi hendrix burial site locationWebThe aim of this book is to present the basic concepts of tilting theory as well as the variety of applications. It contains a collection of key articles, which together form a handbook of the subject, and provide both an introduction and reference for newcomers and experts … jimi hendrix born where