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The stable Calabi–Yau dimension of preprojective algebras of type Ln. / Ivanov, S. O.

в: St. Petersburg Mathematical Journal, Том 24, 2013, стр. 475-484.

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Harvard

Ivanov, SO 2013, 'The stable Calabi–Yau dimension of preprojective algebras of type Ln', St. Petersburg Mathematical Journal, Том. 24, стр. 475-484. https://doi.org/10.1090/S1061-0022-2013-01248-9

APA

Ivanov, S. O. (2013). The stable Calabi–Yau dimension of preprojective algebras of type Ln. St. Petersburg Mathematical Journal, 24, 475-484. https://doi.org/10.1090/S1061-0022-2013-01248-9

Vancouver

Ivanov SO. The stable Calabi–Yau dimension of preprojective algebras of type Ln. St. Petersburg Mathematical Journal. 2013;24:475-484. https://doi.org/10.1090/S1061-0022-2013-01248-9

Author

Ivanov, S. O. / The stable Calabi–Yau dimension of preprojective algebras of type Ln. в: St. Petersburg Mathematical Journal. 2013 ; Том 24. стр. 475-484.

BibTeX

@article{0f74ddd8aba5423f8f5c8c3bbf7d9b92,
title = "The stable Calabi–Yau dimension of preprojective algebras of type Ln",
abstract = "It is proved that if the characteristic of the ground field is not equal to $ 2$, then the stable Calabi-Yau dimension of the preprojective algebra of type $ {\mathbf L}_n$ is equal to $ 5$. This result contradicts certain claims by Erdmann and Skowro{\'n}ski related to the description of algebras whose stable Calabi-Yau dimension is $ 2$.",
keywords = "Preprojective algebras, self-injective algebras, Calabi--Yan dimension, stable category of modules",
author = "Ivanov, {S. O.}",
year = "2013",
doi = "http://dx.doi.org/10.1090/S1061-0022-2013-01248-9",
language = "English",
volume = "24",
pages = "475--484",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",

}

RIS

TY - JOUR

T1 - The stable Calabi–Yau dimension of preprojective algebras of type Ln

AU - Ivanov, S. O.

PY - 2013

Y1 - 2013

N2 - It is proved that if the characteristic of the ground field is not equal to $ 2$, then the stable Calabi-Yau dimension of the preprojective algebra of type $ {\mathbf L}_n$ is equal to $ 5$. This result contradicts certain claims by Erdmann and Skowroński related to the description of algebras whose stable Calabi-Yau dimension is $ 2$.

AB - It is proved that if the characteristic of the ground field is not equal to $ 2$, then the stable Calabi-Yau dimension of the preprojective algebra of type $ {\mathbf L}_n$ is equal to $ 5$. This result contradicts certain claims by Erdmann and Skowroński related to the description of algebras whose stable Calabi-Yau dimension is $ 2$.

KW - Preprojective algebras

KW - self-injective algebras

KW - Calabi--Yan dimension

KW - stable category of modules

U2 - http://dx.doi.org/10.1090/S1061-0022-2013-01248-9

DO - http://dx.doi.org/10.1090/S1061-0022-2013-01248-9

M3 - Article

VL - 24

SP - 475

EP - 484

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

ER -

ID: 5659301