Dihedral modules with ∞-simplicial faces and dihedral homology for involutive 𝐴_{∞}-algebras over rings-Reference-Cited by-同舟云学术

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Dihedral modules with ∞-simplicial faces and dihedral homology for involutive 𝐴_{∞}-algebras over rings

Published:2022-05-05 Issue:3 Volume:33 Page:491-509
ISSN:1061-0022
Container-title:St. Petersburg Mathematical Journal
language:en
Short-container-title:St. Petersburg Math. J.

Author:

Lapin S.

Abstract

On the basis of combinatorial techniques of dihedral modules with ∞ \infty -simplicial faces, dihedral homology is constructed for involutive A ∞ A_{\infty } -algebras over arbitrary commutative unital rings.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference18 articles.

1. Homology of certain matrix Lie superalgebras;Tsygan, B. L.;Funktsional. Anal. i Prilozhen.,1986

2. Dihedral homology and cohomology. Basic concepts and constructions;Krasauskas, R. L.;Mat. Sb. (N.S.),1987

3. Algebraic 𝐾-theory of quadratic forms;Solov′ev, Yu. P.,1986

4. Involutive 𝐴_{∞}-algebras and dihedral cohomology;Braun, Christopher;J. Homotopy Relat. Struct.,2014

5. Théorie de Quillen et homologie du groupe orthogonal;Karoubi, Max;Ann. of Math. (2),1980

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Homotopic invariance of dihedral homologies for _{∞}-algebras with involution;St. Petersburg Mathematical Journal;2022-10-31

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