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Külshammer Ideals of Graded Categories and Hochschild Cohomology. / Volkov, Yury; Zvonareva, Alexandra.

в: Algebras and Representation Theory, Том 21, № 6, 01.12.2018, стр. 1251-1275.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Volkov, Y & Zvonareva, A 2018, 'Külshammer Ideals of Graded Categories and Hochschild Cohomology', Algebras and Representation Theory, Том. 21, № 6, стр. 1251-1275. https://doi.org/10.1007/s10468-017-9746-4

APA

Volkov, Y., & Zvonareva, A. (2018). Külshammer Ideals of Graded Categories and Hochschild Cohomology. Algebras and Representation Theory, 21(6), 1251-1275. https://doi.org/10.1007/s10468-017-9746-4

Vancouver

Volkov Y, Zvonareva A. Külshammer Ideals of Graded Categories and Hochschild Cohomology. Algebras and Representation Theory. 2018 Дек. 1;21(6):1251-1275. https://doi.org/10.1007/s10468-017-9746-4

Author

Volkov, Yury ; Zvonareva, Alexandra. / Külshammer Ideals of Graded Categories and Hochschild Cohomology. в: Algebras and Representation Theory. 2018 ; Том 21, № 6. стр. 1251-1275.

BibTeX

@article{80a1748472f84ce49007cb7090b97392,
title = "K{\"u}lshammer Ideals of Graded Categories and Hochschild Cohomology",
abstract = "We generalize the notion of K{\"u}lshammer ideals to the setting of a graded category. This allows us to define and study some properties of K{\"u}lshammer type ideals in the graded center of a triangulated category and in the Hochschild cohomology of an algebra, providing new derived invariants. Further properties of K{\"u}lshammer ideals are studied in the case where the category is d-Calabi-Yau.",
keywords = "Calabi-Yau categories, Graded center, Hochschild cohomology, K{\"u}lshammer ideals, INVARIANTS, RINGS, SYMMETRIC ALGEBRAS, (CO)HOMOLOGY, EQUIVALENCE CLASSIFICATION, DOMESTIC TYPE, GENERALIZED REYNOLDS IDEALS, FUNCTORS, Kulshammer ideals",
author = "Yury Volkov and Alexandra Zvonareva",
year = "2018",
month = dec,
day = "1",
doi = "10.1007/s10468-017-9746-4",
language = "English",
volume = "21",
pages = "1251--1275",
journal = "Algebras and Representation Theory",
issn = "1386-923X",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - Külshammer Ideals of Graded Categories and Hochschild Cohomology

AU - Volkov, Yury

AU - Zvonareva, Alexandra

PY - 2018/12/1

Y1 - 2018/12/1

N2 - We generalize the notion of Külshammer ideals to the setting of a graded category. This allows us to define and study some properties of Külshammer type ideals in the graded center of a triangulated category and in the Hochschild cohomology of an algebra, providing new derived invariants. Further properties of Külshammer ideals are studied in the case where the category is d-Calabi-Yau.

AB - We generalize the notion of Külshammer ideals to the setting of a graded category. This allows us to define and study some properties of Külshammer type ideals in the graded center of a triangulated category and in the Hochschild cohomology of an algebra, providing new derived invariants. Further properties of Külshammer ideals are studied in the case where the category is d-Calabi-Yau.

KW - Calabi-Yau categories

KW - Graded center

KW - Hochschild cohomology

KW - Külshammer ideals

KW - INVARIANTS

KW - RINGS

KW - SYMMETRIC ALGEBRAS

KW - (CO)HOMOLOGY

KW - EQUIVALENCE CLASSIFICATION

KW - DOMESTIC TYPE

KW - GENERALIZED REYNOLDS IDEALS

KW - FUNCTORS

KW - Kulshammer ideals

UR - http://www.scopus.com/inward/record.url?scp=85034597332&partnerID=8YFLogxK

U2 - 10.1007/s10468-017-9746-4

DO - 10.1007/s10468-017-9746-4

M3 - Article

AN - SCOPUS:85034597332

VL - 21

SP - 1251

EP - 1275

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

SN - 1386-923X

IS - 6

ER -

ID: 35768614