Webtilting modules, exceptional sequences and a connection to cluster categories. ... and derived categories of finite-dimensional algebras. Open questions on Lie algebras, Bruhat orders, Coxeter groups and Kazhdan Lusztig polynomials are. 4 investigated with the aid of computer programs. The contents of this book WebThe derived category of coherent sheaves on a smooth projective variety is an important object of study in algebraic geometry. Over the past decades, a lot of ... the direct summands of T generate the bounded derived category D. b (X). The importance of tilting sheaves relies on the fact [Ba, Theorem 3.1.2, 3.1.3] that they can be characterized ...
A reduction approach to silting objects for derived categories …
WebMar 14, 2024 · SMCs were first studied by in the context of derived categories of symmetric algebras and they were also studied by under the name “cohomologically Schurian set of generators”. The name “SMC” was introduced by [ 29 , Definition 3.2] in general setting. WebIn general, a triangulated category may have three types of nice gadgets: strong exceptional collection, exceptional collection, tilting object. Number 1 gives both 2 and 3. 2 or 3 do not give each other or 1. Each of these gadgets gives you a realization of your category as derived representations of a directed quiver (with relations), sec vs wahi
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WebWe review the basic definitions of derived categories and derived functors. We illustrate them on simple but non trivial examples. Then we explain Happel’s theorem which … WebMay 1, 2024 · Silting and cosilting complexes in the derived category of a ring generalise tilting and cotilting modules. They give rise to subcategories of the derived category, … WebCambridge Core - Logic, Categories and Sets - Derived Categories. Skip to main content Accessibility help ... Select 14 - Perfect and Tilting DG Modules over NC DG Rings. 14 - Perfect and Tilting DG Modules over … push fitness thunder bay prices