Journal of AlgebraD.E. Radford, On the structure of commutative pointed Hopf algebras. J. Algebra 50 (1978), 284-296.Radford, D. E. (1978). On the structure of commutative pointed Hopf algebras. J. Algebra 50:284-296.Radford,D. E.On the structure of a commutative pointed Hopf ...
On the Structure of Graded λ-Hopf AlgebrasOn the Structure of Graded λ-Hopf AlgebrasHOPF algebrasALGEBRAIC topologyALGEBRAMATHEMATICAL analysisMEASURE theoryLet G be an abelian group, B the G-graded λ-Hopf algebra with λ being a bicharacter on G. By introducing some new twisted algebras (co...
Jean-Louis Loday and Maria Ronco, On the structure of cofree Hopf algebras, J. Reine Angew. Math. 592 (2006), 123155, arXiv:math/0405330.Loday, J.-L., Ronco, M.O.: On the structure of cofree Hopf algebras. J. Reine Angew. Math. 592, 123-155 (2006)...
notably a connection with the Riemann–Hilbert problem was established. Brouder [3, 4] realized that the mathematical structure of Connes–Kreimer was the same as that of Butcher. Grossman and Larson [16] also developed a cocommutative graded Hopf algebra on a general class of rooted trees. ...
which have a similar forest structure realized by similar subgraphs belong to the same class. Elements in our Hopf algebra correspond to classes of Feynman diagrams, and any set of Feynman diagrams can be ordered by these classes. We will see that the primitive elements of the Hopf algebra are...
Let (H,R) be a finite dimensional semisimple and cosemisimple quasi-triangular Hopf algebra over a field k. In this paper, we give the structure of irreducible objects of the Yetter-Drinfeld module category YDHH. Let HR be the Majid's transmuted braided group of (H,R), we show that HR...
universal enveloping algebras16E4516S1017B3517B63In this paper, the so-called differential graded (DG for short) Poisson Hopf algebra is introduced, which can be considered as a natural extension of Poisson Hopf algebras in the differential graded setting. The structures on the universal enveloping...
Y. Kashina, On the order of the antipode of Hopf algebras in H H YD, Communications in Algebra 27 (1999), 1261–1273. MATH MathSciNetY. Kashina, On the order of the antipode of Hopf algebras inOn the order of the antipode of Hopf algebras - Kashina - 1999 () Citation Context .....
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7. Structure Theorems for Bicomodule Algebras Over Quasi-Hopf Algebras, Weak Hopf Algebras, and Braided Hopf Algebras [O] . Jeroen Dello, Florin Panaite, Freddy Van Oystaeyen, 2016 机译:Quasi-Hopf代数,弱Hopf代数和编织Hopf代数的结构定理 8. Differential Hopf Algebra Structures on the Universa...