Stable categories and reconstruction

Jeremy Rickard; Raphaël Rouquier

doi:10.1016/j.jalgebra.2016.05.018

Stable categories and reconstruction

Jeremy Rickard, Raphaël Rouquier^*

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

We study sets of objects in a triangulated category that satisfy properties similar to simple modules when the triangulated category is the derived category of a ring or the stable category of a finite-dimensional self-injective algebra. In the first case, we construct t-structures and, in the second case, we construct a graded algebra.

Original language	English
Pages (from-to)	287-307
Number of pages	21
Journal	Journal of Algebra
Volume	475
Early online date	2 Jun 2016
DOIs	https://doi.org/10.1016/j.jalgebra.2016.05.018
Publication status	Published - 1 Apr 2017

Keywords

Derived category
Finite-dimensional algebra
Stable category
t-structure

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10.1016/j.jalgebra.2016.05.018

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Elsevier at http://www.sciencedirect.com/science/article/pii/S002186931630117X. Please refer to any applicable terms of use of the publisher.
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abstract = "We study sets of objects in a triangulated category that satisfy properties similar to simple modules when the triangulated category is the derived category of a ring or the stable category of a finite-dimensional self-injective algebra. In the first case, we construct t-structures and, in the second case, we construct a graded algebra.",

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AU - Rouquier, Raphaël

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AB - We study sets of objects in a triangulated category that satisfy properties similar to simple modules when the triangulated category is the derived category of a ring or the stable category of a finite-dimensional self-injective algebra. In the first case, we construct t-structures and, in the second case, we construct a graded algebra.

KW - Derived category

KW - Finite-dimensional algebra

KW - Stable category

KW - t-structure

UR - http://www.scopus.com/inward/record.url?scp=85008152843&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2016.05.018

DO - 10.1016/j.jalgebra.2016.05.018

M3 - Article (Academic Journal)

SN - 0021-8693

VL - 475

SP - 287

EP - 307

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Stable categories and reconstruction

Abstract

Keywords

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