230 citations · 1.2k across the 72 of their papers we have counts for
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Brace operations and Deligne's Conjecture for module-algebras
Donald Yau
It is observed that Kaygun's Hopf-Hochschild cochain complex for a module-algebra is a brace algebra with multiplication. As a result, (i) an analogue of Deligne's Conjecture holds…
Cohomology and deformation of module-algebras
Donald Yau
An algebraic deformation theory of module-algebras over a bialgebra is constructed. The cases of module-coalgebras, comodule-algebras, and comodule-coalgebras are also considered.
Gerstenhaber structure and Deligne's conjecture for Loday algebras
Donald Yau
A method for establishing a Gerstenhaber algebra structure on the cohomology of Loday-type algebras is presented. This method is then applied to dendriform dialgebras and three typ…
Deformation theory of dialgebra morphisms
Donald Yau
An algebraic deformation theory of dialgebra morphisms is obtained.
(Co)homology of triassociative algebras
Donald Yau
We study homology and cohomology of triassociative algebras with non-trivial coefficients.
Deformations of coalgebra morphisms
Donald Yau
An algebraic deformation theory of coalgebra morphisms is constructed.
Deformation of dual Leibniz algebra morphisms
Donald Yau
An algebraic deformation theory of morphisms of dual Leibniz algebras is obtained.