Recollements and Hochschild theory
By Yang Han. 2011
48 citations recorded by the source corpus.
It is shown that a recollement of derived categories of algebras induces those of tensor product algebras and opposite algebras respectively, which is applied to clarify the relations between recollements of derived categories of algebras and smoothness and Hochschild cohomology of algebras.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/4295a0afd4bcea2453c117c5b781a97c187d188b
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In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Reducing Homological Conjectures by n-Recollements (2014, methodology): “Here, we focus on the recollements of derived categories of algebras which are the generalization of derived equivalences and provide a useful reduction technique for some homological properties such as the finiteness of global dimension [32, 21, 1], the finiteness of finitistic dimension [17, 9] an”
- Gorenstein categories, singular equivalences and finite generation of cohomology rings in recollements (2014, background): “stratifications of derived categories of rings, see [1, 2, 3, 4]. Also, Chen and Xi have investigated recollements in relation with tilting theory [22] and algebraic Ktheory [23, 24]. Furthermore, Han [35] has studied the relations between recollements of derived categories of algebras, smoothness an”