@article{Ding2025, 
author = {Ming Ding and Zhiqi Chen and Jifu Li},
title = {The properties on F-manifold color algebras and pre-F-manifold color algebras},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {1},
pages = {87-101},
keywords = {Lie color algebra, F-manifold algebra, F-manifold color algebra, representation theory, pre-F-manifold color algebra},
url = {https://www.sciopen.com/article/10.3934/era.2025005},
doi = {10.3934/era.2025005},
abstract = {The concept of F-manifold algebras is an algebraic expression of F-manifolds. In this paper, we provide the definition of an F-manifold color algebra, which can be viewed as a natural generalization of an F-manifold algebra. We develop the representation theory of an F-manifold color algebra and show that F-manifold color algebras admitting non-degenerate symmetric bilinear forms are coherence F-manifold color algebras. The concept of pre-F-manifold color algebras is also presented, and using this definition one can construct F-manifold color algebras. These results extend some properties of F-manifold algebras.}
}