BV-STRUCTURE ON HOCHSCHILD COHOMOLOGY FOR EXCEPTIONAL LOCAL ALGEBRAS OF QUATERNION TYPE. THE CASE OF AN EVEN PARAMETER

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BV-STRUCTURE ON HOCHSCHILD COHOMOLOGY FOR EXCEPTIONAL LOCAL ALGEBRAS OF QUATERNION TYPE. THE CASE OF AN EVEN PARAMETER. / Generalov, A.I.; Semenov, A.V.

In: St. Petersburg Mathematical Journal, Vol. 35, No. 4, 04.10.2024, p. 653-676.

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

BibTeX

@article{8df18f641f29454699db9b3a0e4bc4ab,

title = "BV-STRUCTURE ON HOCHSCHILD COHOMOLOGY FOR EXCEPTIONAL LOCAL ALGEBRAS OF QUATERNION TYPE. THE CASE OF AN EVEN PARAMETER",

abstract = "A full description is provided for the BV -structure on the Hochschild cohomology of exceptional local algebras of quaternion type determined by parameters (k, 0, d) in the case of an even parameter k ≥ 3, according to Erdmann{\textquoteright}s classification. The method of comparison morphisms and the weak self-homotopy method are developed and used. This article may be viewed as a generalization of similar results about the BV -structures on the Hochschild cohomology of algebras of quaternion type. {\textcopyright} 2024 American Mathematical Society",

keywords = "BV-structure, Gerstenhaber bracket, Hochschild cohomology, homological algebra, Lie algebra",

author = "A.I. Generalov and A.V. Semenov",

note = "Export Date: 4 November 2024 Сведения о финансировании: 075-15-2019-16-20 Сведения о финансировании: Russian Foundation for Basic Research, RFBR, 20-01-00030 Сведения о финансировании: Russian Foundation for Basic Research, RFBR Текст о финансировании 1: This work is partially supported by Young Russian Mathematics award and the second author is grateful to its jury and sponsors; it is supported by \u201CNative Cities\u201D, a social investment program of PJSC \u201CGazprom Neft\u201D. Also the second author is supported in part by The Euler International Mathematical Institute, grant no. 075\u201315\u20132019-16-20. The first author is partially supported by the RFBR under Grant no. 20\u201301\u201300030. Текст о финансировании 2: This work is partially supported by Young Russian Mathematics award and the second author is grateful to its jury and sponsors; it is supported by \u201CNative Cities\u201D, a social investment program of PJSC \u201CGazprom Neft\u201D. Also the second author is supported in part by The Euler International Mathematical Institute, grant no. 075-15-2019-16-20. The first author is partially supported by the RFBR under Grant no. 20-01-00030.",

year = "2024",

month = oct,

day = "4",

doi = "10.1090/spmj/1820",

language = "Английский",

volume = "35",

pages = "653--676",

journal = "St. Petersburg Mathematical Journal",

issn = "1061-0022",

publisher = "American Mathematical Society",

number = "4",

}

RIS

TY - JOUR

T1 - BV-STRUCTURE ON HOCHSCHILD COHOMOLOGY FOR EXCEPTIONAL LOCAL ALGEBRAS OF QUATERNION TYPE. THE CASE OF AN EVEN PARAMETER

AU - Generalov, A.I.

AU - Semenov, A.V.

N1 - Export Date: 4 November 2024 Сведения о финансировании: 075-15-2019-16-20 Сведения о финансировании: Russian Foundation for Basic Research, RFBR, 20-01-00030 Сведения о финансировании: Russian Foundation for Basic Research, RFBR Текст о финансировании 1: This work is partially supported by Young Russian Mathematics award and the second author is grateful to its jury and sponsors; it is supported by \u201CNative Cities\u201D, a social investment program of PJSC \u201CGazprom Neft\u201D. Also the second author is supported in part by The Euler International Mathematical Institute, grant no. 075\u201315\u20132019-16-20. The first author is partially supported by the RFBR under Grant no. 20\u201301\u201300030. Текст о финансировании 2: This work is partially supported by Young Russian Mathematics award and the second author is grateful to its jury and sponsors; it is supported by \u201CNative Cities\u201D, a social investment program of PJSC \u201CGazprom Neft\u201D. Also the second author is supported in part by The Euler International Mathematical Institute, grant no. 075-15-2019-16-20. The first author is partially supported by the RFBR under Grant no. 20-01-00030.

PY - 2024/10/4

Y1 - 2024/10/4

N2 - A full description is provided for the BV -structure on the Hochschild cohomology of exceptional local algebras of quaternion type determined by parameters (k, 0, d) in the case of an even parameter k ≥ 3, according to Erdmann’s classification. The method of comparison morphisms and the weak self-homotopy method are developed and used. This article may be viewed as a generalization of similar results about the BV -structures on the Hochschild cohomology of algebras of quaternion type. © 2024 American Mathematical Society

AB - A full description is provided for the BV -structure on the Hochschild cohomology of exceptional local algebras of quaternion type determined by parameters (k, 0, d) in the case of an even parameter k ≥ 3, according to Erdmann’s classification. The method of comparison morphisms and the weak self-homotopy method are developed and used. This article may be viewed as a generalization of similar results about the BV -structures on the Hochschild cohomology of algebras of quaternion type. © 2024 American Mathematical Society

KW - BV-structure

KW - Gerstenhaber bracket

KW - Hochschild cohomology

KW - homological algebra

KW - Lie algebra

U2 - 10.1090/spmj/1820

DO - 10.1090/spmj/1820

M3 - статья

VL - 35

SP - 653

EP - 676

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 4

ER -

ID: 126740683