Simple-minded systems and reduction for negative Calabi-Yau triangulated categories-Reference-Cited by-同舟云学术

Simple-minded systems and reduction for negative Calabi-Yau triangulated categories

Published:2020-01-07 Issue:4 Volume:373 Page:2463-2498
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Coelho Simões Raquel,Pauksztello David

Abstract

We develop the basic properties of w w -simple-minded systems in ( − w ) (-w) -Calabi-Yau triangulated categories for w ⩾ 1 w \geqslant 1 . We show that the theory of simple-minded systems exhibits striking parallels with that of cluster-tilting objects. The main result is a reduction technique for negative Calabi-Yau triangulated categories. Our construction provides an inductive technique for constructing simple-minded systems.

Funder

Fundação para a Ciência e a Tecnologia

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/tran/2020-373-04/S0002-9947-2019-08002-9/tran8002_AM.pdf

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