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Discrete derived categories I: homomorphisms, autoequivalences and t-structures

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Discrete derived categories I: homomorphisms, autoequivalences and t-structures. / Broomhead, Nathan; Pauksztello, David; Ploog, David.
In: Mathematische Zeitschrift, Vol. 285, No. 1-2, 02.2017, p. 39-89.

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

Harvard

Broomhead, N, Pauksztello, D & Ploog, D 2017, 'Discrete derived categories I: homomorphisms, autoequivalences and t-structures', Mathematische Zeitschrift, vol. 285, no. 1-2, pp. 39-89. https://doi.org/10.1007/s00209-016-1690-1

APA

Broomhead, N., Pauksztello, D., & Ploog, D. (2017). Discrete derived categories I: homomorphisms, autoequivalences and t-structures. Mathematische Zeitschrift, 285(1-2), 39-89. https://doi.org/10.1007/s00209-016-1690-1

Vancouver

Broomhead N, Pauksztello D, Ploog D. Discrete derived categories I: homomorphisms, autoequivalences and t-structures. Mathematische Zeitschrift. 2017 Feb;285(1-2):39-89. Epub 2016 Jun 17. doi: 10.1007/s00209-016-1690-1

Author

Broomhead, Nathan ; Pauksztello, David ; Ploog, David. / Discrete derived categories I : homomorphisms, autoequivalences and t-structures. In: Mathematische Zeitschrift. 2017 ; Vol. 285, No. 1-2. pp. 39-89.

Bibtex

@article{900912d4133a4f3e8512e3848f4b3421,
title = "Discrete derived categories I: homomorphisms, autoequivalences and t-structures",
abstract = "Discrete derived categories were studied initially by Vossieck (J Algebra 243:168–176, 2001) and later by Bobi{\'n}ski et al. (Cent Eur J Math 2:19–49, 2004). In this article, we describe the homomorphism hammocks and autoequivalences on these categories. We classify silting objects and bounded t-structures.",
keywords = "Discrete derived category , Auslander–Reiten quiver, Hom-hammock , Twist functor , Silting object, t-Structure , String algebra ",
author = "Nathan Broomhead and David Pauksztello and David Ploog",
year = "2017",
month = feb,
doi = "10.1007/s00209-016-1690-1",
language = "English",
volume = "285",
pages = "39--89",
journal = "Mathematische Zeitschrift",
issn = "0025-5874",
publisher = "Springer New York",
number = "1-2",

}

RIS

TY - JOUR

T1 - Discrete derived categories I

T2 - homomorphisms, autoequivalences and t-structures

AU - Broomhead, Nathan

AU - Pauksztello, David

AU - Ploog, David

PY - 2017/2

Y1 - 2017/2

N2 - Discrete derived categories were studied initially by Vossieck (J Algebra 243:168–176, 2001) and later by Bobiński et al. (Cent Eur J Math 2:19–49, 2004). In this article, we describe the homomorphism hammocks and autoequivalences on these categories. We classify silting objects and bounded t-structures.

AB - Discrete derived categories were studied initially by Vossieck (J Algebra 243:168–176, 2001) and later by Bobiński et al. (Cent Eur J Math 2:19–49, 2004). In this article, we describe the homomorphism hammocks and autoequivalences on these categories. We classify silting objects and bounded t-structures.

KW - Discrete derived category

KW - Auslander–Reiten quiver

KW - Hom-hammock

KW - Twist functor

KW - Silting object

KW - t-Structure

KW - String algebra

U2 - 10.1007/s00209-016-1690-1

DO - 10.1007/s00209-016-1690-1

M3 - Journal article

VL - 285

SP - 39

EP - 89

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

SN - 0025-5874

IS - 1-2

ER -