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math.RA2024
Averaging antisymmetric infinitesimal bialgebra and perm bialgebras
Bo Hou, Zhanpeng Cui
We establish a bialgebra theory for averaging algebras, called averaging antisymmetric infinitesimal bialgebras by generalizing the study of antisymmetric infinitesimal bialgebras…
math.RA2022
Gerstenhaber algebra of an associative conformal algebra
Bo Hou, Zhongxi Shen, Jun Zhao
We define a cup product on the Hochschild cohomology of an associative conformal algebra , and show the cup product is graded commutative. We define a graded Lie bracket with th…