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math.RA2018★ 8 cited
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…
math.RA2018★ 6 cited
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…