Skew Calabi-Yau triangulated categories and Frobenius Ext-algebras
By Manuel Reyes, D. Rogalski, James J. Zhang. 2014
54 citations recorded by the source corpus.
We investigate the conditions that are sufficient to make the Ext-algebra of an object in a (triangulated) category into a Frobenius algebra and compute the corresponding Nakayama automorphism. As an application, we prove the conjecture that hdet($\mu_A$) = 1 for any noetherian Artin-Schelter regular (hence skew Calabi-Yau) algebra A.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/72a846a21a22d7e4c89628137721f7bddfaac413
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The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
In Geometry and Topology
- Amnon Yekutieli
- Andrei Căldăraru
- Michel van den Bergh
- Yukinobu Toda
- A. Ramadoss
- Masaki Kashiwara
- James J. Zhang
- Wendy Lowen
In Mathematical Physics
- Amnon Yekutieli
- Andrei Căldăraru
- Michel van den Bergh
- Yukinobu Toda
- A. Ramadoss
- Masaki Kashiwara
- Damien Calaque
- James J. Zhang
Citations in the corpus
- Derived Categories (2016, background): “In case A is a noetherian connected graded ring, then it is twisted CY in the graded sense if and only if it is AS regular; see [123].”