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Mutations of simple-minded systems in Calabi-Yau categories generated by a spherical object

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Mutations of simple-minded systems in Calabi-Yau categories generated by a spherical object. / Coelho Guardado Simoes, Raquel.
In: Forum Mathematicum, Vol. 29, No. 5, 01.09.2017, p. 1065-1081.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Coelho Guardado Simoes, R 2017, 'Mutations of simple-minded systems in Calabi-Yau categories generated by a spherical object', Forum Mathematicum, vol. 29, no. 5, pp. 1065-1081. https://doi.org/10.1515/forum-2016-0015

APA

Coelho Guardado Simoes, R. (2017). Mutations of simple-minded systems in Calabi-Yau categories generated by a spherical object. Forum Mathematicum, 29(5), 1065-1081. https://doi.org/10.1515/forum-2016-0015

Vancouver

Coelho Guardado Simoes R. Mutations of simple-minded systems in Calabi-Yau categories generated by a spherical object. Forum Mathematicum. 2017 Sept 1;29(5):1065-1081. Epub 2016 Nov 17. doi: 10.1515/forum-2016-0015

Author

Coelho Guardado Simoes, Raquel. / Mutations of simple-minded systems in Calabi-Yau categories generated by a spherical object. In: Forum Mathematicum. 2017 ; Vol. 29, No. 5. pp. 1065-1081.

Bibtex

@article{826717dc89a0419e9f8c002e518743af,
title = "Mutations of simple-minded systems in Calabi-Yau categories generated by a spherical object",
abstract = "In this article, we give a definition and a classification of {\textquoteleft}higher{\textquoteright} simple-minded systems in triangulated categories generated by spherical objects with negative Calabi–Yau dimension. We also study mutations of this class of objects and that of {\textquoteleft}higher{\textquoteright} Hom-configurations and Riedtmann configurations. This gives an explicit analogue of the {\textquoteleft}nice{\textquoteright} mutation theory exhibited in cluster-tilting theory.",
keywords = "Calabi–Yau triangulated category, cluster-tilting objects, functorial finiteness, mutation, Riedtmann configuration, simple-minded system, spherical object",
author = "{Coelho Guardado Simoes}, Raquel",
year = "2017",
month = sep,
day = "1",
doi = "10.1515/forum-2016-0015",
language = "English",
volume = "29",
pages = "1065--1081",
journal = "Forum Mathematicum",
issn = "0933-7741",
publisher = "Walter de Gruyter GmbH",
number = "5",

}

RIS

TY - JOUR

T1 - Mutations of simple-minded systems in Calabi-Yau categories generated by a spherical object

AU - Coelho Guardado Simoes, Raquel

PY - 2017/9/1

Y1 - 2017/9/1

N2 - In this article, we give a definition and a classification of ‘higher’ simple-minded systems in triangulated categories generated by spherical objects with negative Calabi–Yau dimension. We also study mutations of this class of objects and that of ‘higher’ Hom-configurations and Riedtmann configurations. This gives an explicit analogue of the ‘nice’ mutation theory exhibited in cluster-tilting theory.

AB - In this article, we give a definition and a classification of ‘higher’ simple-minded systems in triangulated categories generated by spherical objects with negative Calabi–Yau dimension. We also study mutations of this class of objects and that of ‘higher’ Hom-configurations and Riedtmann configurations. This gives an explicit analogue of the ‘nice’ mutation theory exhibited in cluster-tilting theory.

KW - Calabi–Yau triangulated category

KW - cluster-tilting objects

KW - functorial finiteness

KW - mutation

KW - Riedtmann configuration

KW - simple-minded system

KW - spherical object

U2 - 10.1515/forum-2016-0015

DO - 10.1515/forum-2016-0015

M3 - Journal article

VL - 29

SP - 1065

EP - 1081

JO - Forum Mathematicum

JF - Forum Mathematicum

SN - 0933-7741

IS - 5

ER -