Discrete triangulated categories

Nathan Broomhead; David Pauksztello; David Ploog

doi:10.1112/blms.12125

Discrete triangulated categories

Nathan Broomhead, David Pauksztello, David Ploog

School of Engineering, Computing and Mathematics

Research output: Contribution to journal › Article › peer-review

11 Downloads (Pure)

Abstract

We introduce and study several homological notions which generalise the discrete derived categories of D. Vossieck. As an application, we show that Vossieck discrete algebras have this property with respect to all bounded t-structures. We give many examples of triangulated categories regarding these notions.

Original language	English
Number of pages	0
Journal	Bulletin of the London Mathematical Society
Volume	0
Issue number	0
Early online date	8 Dec 2017
DOIs	https://doi.org/10.1112/blms.12125
Publication status	Published - Feb 2018

Keywords

math.RT
math.CT
math.KT
16E35
18E30

Access to Document

10.1112/blms.12125

Dtc-withblurb

Cite this

@article{cc76d12d06814b00977c7f2312005f08,

title = "Discrete triangulated categories",

abstract = "We introduce and study several homological notions which generalise the discrete derived categories of D. Vossieck. As an application, we show that Vossieck discrete algebras have this property with respect to all bounded t-structures. We give many examples of triangulated categories regarding these notions.",

keywords = "math.RT, math.CT, math.KT, 16E35, 18E30",

author = "Nathan Broomhead and David Pauksztello and David Ploog",

year = "2018",

month = feb,

doi = "10.1112/blms.12125",

language = "English",

volume = "0",

journal = "Bulletin of the London Mathematical Society",

issn = "0024-6093",

publisher = "John Wiley and Sons Ltd",

number = "0",

}

TY - JOUR

T1 - Discrete triangulated categories

AU - Broomhead, Nathan

AU - Pauksztello, David

AU - Ploog, David

PY - 2018/2

Y1 - 2018/2

N2 - We introduce and study several homological notions which generalise the discrete derived categories of D. Vossieck. As an application, we show that Vossieck discrete algebras have this property with respect to all bounded t-structures. We give many examples of triangulated categories regarding these notions.

AB - We introduce and study several homological notions which generalise the discrete derived categories of D. Vossieck. As an application, we show that Vossieck discrete algebras have this property with respect to all bounded t-structures. We give many examples of triangulated categories regarding these notions.

KW - math.RT

KW - math.CT

KW - math.KT

KW - 16E35

KW - 18E30

UR - https://pearl.plymouth.ac.uk/context/secam-research/article/1864/viewcontent/dtc_withblurb.pdf

U2 - 10.1112/blms.12125

DO - 10.1112/blms.12125

M3 - Article

SN - 0024-6093

VL - 0

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 0

ER -

Discrete triangulated categories

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this