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Research Article | Open Access

Constructions and representations on BiHom- δ-Jordan Lie color algebras

Jiaqi Li1, Hongrui Yu2, Lili Ma3,4( )
College of Science, Minzu University of China, Beijing 100081, China
College of Science, Hebei Normal University, Shijiazhuang 050024, China
College of Science, Qiqihar University, Qiqihar 161006, China
College of Science, Shenyang Aerospace University, Shenyang 110136, China
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Abstract

The aim of this paper is to study BiHom- δ-Jordan Lie color algebras. Three kinds of BiHom- δ-Jordan Lie color algebras are constructed using suitable bilinear operators, respectively. Then representations and cohomologies are given to show some properties on BiHom- δ-Jordan Lie color algebras. Moreover, trivial representations and adjoint representations on BiHom- δ-Jordan Lie color algebras are discussed.

Keywords

BiHom-δ-Jordan Lie color algebrarepresentationtrivial representationadjoint representationderivation
CLC number: 17A99, 17B40, 17B56

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AIMS Mathematics
Volume 11 Issue 7,
July 2026
Pages 20029-20049
DOI: 10.3934/math.2026813

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Cite this article:
Li J, Yu H, Ma L. Constructions and representations on BiHom- δ-Jordan Lie color algebras. AIMS Mathematics, 2026, 11(7): 20029-20049. https://doi.org/10.3934/math.2026813

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Received: 31 December 2025
Revised: 28 May 2026
Accepted: 10 June 2026
Published: 15 July 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)