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math.CO2017★ 1 cited
Theta maps for combinatorial Hopf algebras
Farid Aliniaeifard, Shu Xiao Li
There is a very natural and well-behaved Hopf algebra morphism from quasisymmetric functions to peak algebra, which we call it Theta map. This paper focuses on generalizing the pea…
math.RA2017
Positive Self-Dual Hopf Algebras of Galois Characters
Farid Aliniaeifard, Shawn Burkett
By using the action of certain Galois groups on complex irreducible characters and conjugacy classes, we define the Galois characters and Galois classes. We will introduce a set of…