10 citations · 57 across the 16 of their papers we have counts for
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Weighted infinitesimal unitary bialgebras, pre-Lie, matrix algebras and polynomial algebras
Yi Zhang, Jiawen Zheng, Yanfeng Luo
Motivated by the classical comatrix coalgebra, we introduce the concept of a Newtonian comatrix coalgebra. We construct an infinitesimal unitary bialgebra on a matrix algebra and a…
Weighted infinitesimal unitary bialgebras on rooted forests and weighted cocycles
Yi Zhang, Dan Chen, Xing Gao +1
In this paper, we define a new coproduct on the space of decorated planar rooted forests to equip it with a weighted infinitesimal unitary bialgebraic structure. We introduce the c…
Weighted infinitesimal unitary bialgebras on matrix algebras and weighted associative Yang-Baxter equations
Yi Zhang, Xing Gao, Jia-wen Zheng
We equip a matrix algebra with a weighted infinitesimal unitary bialgebraic structure, via a construction of a suitable coproduct. Furthermore, an infinitesimal unitary Hopf algebr…
Weighted infinitesimal bialgebras
Xing Gao, Yi Zhang
As an algebraic meaning of the nonhomogenous associative Yang-Baxter equation, weighted infinitesimal bialgebras play an important role in mathematics and mathematical physics. In…