A Batalin-Vilkovisky structure on the complete cohomology ring of a Frobenius algebra

Tomohiro Itagaki; Katsunori Sanada; Satoshi Usui

doi:10.1016/j.jalgebra.2021.04.016

A Batalin-Vilkovisky structure on the complete cohomology ring of a Frobenius algebra

Tomohiro Itagaki
, Katsunori Sanada
, Satoshi Usui

数学科

研究成果: Article › 査読

抄録

We study the existence of a Batalin-Vilkovisky differential on the complete cohomology ring of a Frobenius algebra. We construct a Batalin-Vilkovisky differential on the complete cohomology ring in the case of Frobenius algebras with diagonalizable Nakayama automorphisms.

本文言語	English
ページ（範囲）	226-277
ページ数	52
ジャーナル	Journal of Algebra
巻	581
DOI	https://doi.org/10.1016/j.jalgebra.2021.04.016
出版ステータス	Published - 1 9月 2021

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10.1016/j.jalgebra.2021.04.016

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abstract = "We study the existence of a Batalin-Vilkovisky differential on the complete cohomology ring of a Frobenius algebra. We construct a Batalin-Vilkovisky differential on the complete cohomology ring in the case of Frobenius algebras with diagonalizable Nakayama automorphisms.",

keywords = "Batalin-Vilkovisky algebra, Complete cohomology, Frobenius algebra, Gerstenhaber algebra, Hochschild (co)homology, Tate-Hochschild cohomology",

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AU - Itagaki, Tomohiro

AU - Sanada, Katsunori

AU - Usui, Satoshi

PY - 2021/9/1

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N2 - We study the existence of a Batalin-Vilkovisky differential on the complete cohomology ring of a Frobenius algebra. We construct a Batalin-Vilkovisky differential on the complete cohomology ring in the case of Frobenius algebras with diagonalizable Nakayama automorphisms.

AB - We study the existence of a Batalin-Vilkovisky differential on the complete cohomology ring of a Frobenius algebra. We construct a Batalin-Vilkovisky differential on the complete cohomology ring in the case of Frobenius algebras with diagonalizable Nakayama automorphisms.

KW - Batalin-Vilkovisky algebra

KW - Complete cohomology

KW - Frobenius algebra

KW - Gerstenhaber algebra

KW - Hochschild (co)homology

KW - Tate-Hochschild cohomology

UR - https://www.scopus.com/pages/publications/85105352746

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DO - 10.1016/j.jalgebra.2021.04.016

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SN - 0021-8693

VL - 581

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JO - Journal of Algebra

JF - Journal of Algebra

ER -

A Batalin-Vilkovisky structure on the complete cohomology ring of a Frobenius algebra

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