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On the Structure of Hopf Algebras
Annals of Mathematics · 1965 · Vol. 81(2) · pp. 211–211
Abstract
In this paper we present the construction of a group Hopf algebra on the class of rational tangles.A locally finite partial order on this class is introduced and a topology is generated.An interval coalgebra structure associated with the locally finite partial order is specified.Irrational and real tangles are introduced and their relation with rational tangles are studied.The existence of the maximal real tangle is described in detail.
Advanced Topics in AlgebraAlgebraic structures and combinatorial modelsCarbohydrate Chemistry and SynthesisMathematicsHopf algebraPure mathematicsAlgebra over a field
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On the Structure of Hopf Algebras
Annals of Mathematics · 1965 · 1,559 citations
References
On the Structure of Hopf Algebras
Annals of Mathematics · 1965 · 1,559 citations
Sur La Cohomologie des Espaces Fibres Principaux et des Espaces Homogenes de Groupes de Lie Compacts
Annals of Mathematics · 1953 · 1,018 citations
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