Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Hopf_algebra> ?p ?o }
- Hopf_algebra abstract "In mathematics, a Hopf algebra, named after Heinz Hopf, is a structure that is simultaneously an (unital associative) algebra and a (counital coassociative) coalgebra, with these structures' compatibility making it a bialgebra, and that moreover is equipped with an antiautomorphism satisfying a certain property. The representation theory of a Hopf algebra is particularly nice, since the existence of compatible comultiplication, counit, and antipode allows for the construction of tensor products of representations, trivial representations, and dual representations.Hopf algebras occur naturally in algebraic topology, where they originated and are related to the H-space concept, in group scheme theory, in group theory (via the concept of a group ring), and in numerous other places, making them probably the most familiar type of bialgebra. Hopf algebras are also studied in their own right, with much work on specific classes of examples on the one hand and classification problems on the other.".
- Hopf_algebra thumbnail Hopf_algebra.svg?width=300.
- Hopf_algebra wikiPageExternalLink books?id=8FnvAAAAMAAJ.
- Hopf_algebra wikiPageExternalLink M-06-40.pdf.
- Hopf_algebra wikiPageID "325714".
- Hopf_algebra wikiPageLength "23244".
- Hopf_algebra wikiPageOutDegree "95".
- Hopf_algebra wikiPageRevisionID "674685776".
- Hopf_algebra wikiPageWikiLink *-algebra.
- Hopf_algebra wikiPageWikiLink set_analogy.
- Hopf_algebra wikiPageWikiLink Algebra_over_a_field.
- Hopf_algebra wikiPageWikiLink Algebraic_group.
- Hopf_algebra wikiPageWikiLink Algebraic_topology.
- Hopf_algebra wikiPageWikiLink American_Mathematical_Society.
- Hopf_algebra wikiPageWikiLink Antiautomorphism.
- Hopf_algebra wikiPageWikiLink Antihomomorphism.
- Hopf_algebra wikiPageWikiLink Anyonic_Lie_algebra.
- Hopf_algebra wikiPageWikiLink Associative_algebra.
- Hopf_algebra wikiPageWikiLink Bialgebra.
- Hopf_algebra wikiPageWikiLink Category:Hopf_algebras.
- Hopf_algebra wikiPageWikiLink Category:Monoidal_categories.
- Hopf_algebra wikiPageWikiLink Category:Representation_theory.
- Hopf_algebra wikiPageWikiLink Characteristic_(algebra).
- Hopf_algebra wikiPageWikiLink Coalgebra.
- Hopf_algebra wikiPageWikiLink Cocommutative.
- Hopf_algebra wikiPageWikiLink Cohomology.
- Hopf_algebra wikiPageWikiLink Commutative.
- Hopf_algebra wikiPageWikiLink Commutative_diagram.
- Hopf_algebra wikiPageWikiLink Commutative_property.
- Hopf_algebra wikiPageWikiLink Commutative_ring.
- Hopf_algebra wikiPageWikiLink Commutator.
- Hopf_algebra wikiPageWikiLink Continuous_function.
- Hopf_algebra wikiPageWikiLink Dual_(category_theory).
- Hopf_algebra wikiPageWikiLink Dual_space.
- Hopf_algebra wikiPageWikiLink Equivalence_(category_theory).
- Hopf_algebra wikiPageWikiLink Equivalence_of_categories.
- Hopf_algebra wikiPageWikiLink Exterior_algebra.
- Hopf_algebra wikiPageWikiLink Field_(mathematics).
- Hopf_algebra wikiPageWikiLink Field_characteristic.
- Hopf_algebra wikiPageWikiLink Field_of_fractions.
- Hopf_algebra wikiPageWikiLink Field_with_one_element.
- Hopf_algebra wikiPageWikiLink Graded-commutative.
- Hopf_algebra wikiPageWikiLink Graded_algebra.
- Hopf_algebra wikiPageWikiLink Graded_ring.
- Hopf_algebra wikiPageWikiLink Group_(mathematics).
- Hopf_algebra wikiPageWikiLink Group_ring.
- Hopf_algebra wikiPageWikiLink Group_scheme.
- Hopf_algebra wikiPageWikiLink Group_theory.
- Hopf_algebra wikiPageWikiLink Groupoid.
- Hopf_algebra wikiPageWikiLink H-space.
- Hopf_algebra wikiPageWikiLink Heinz_Hopf.
- Hopf_algebra wikiPageWikiLink Homology_(mathematics).
- Hopf_algebra wikiPageWikiLink Homomorphism.
- Hopf_algebra wikiPageWikiLink Hopf_algebra.
- Hopf_algebra wikiPageWikiLink Hopf_algebra_of_permutations.
- Hopf_algebra wikiPageWikiLink Hopf_algebras.
- Hopf_algebra wikiPageWikiLink Hopf_algebroid.
- Hopf_algebra wikiPageWikiLink Hopf_group-(co)algebra.
- Hopf_algebra wikiPageWikiLink Integral_domain.
- Hopf_algebra wikiPageWikiLink Knizhnik–Zamolodchikov_equations.
- Hopf_algebra wikiPageWikiLink Lagranges_theorem_(group_theory).
- Hopf_algebra wikiPageWikiLink Lie_algebra.
- Hopf_algebra wikiPageWikiLink Lie_group.
- Hopf_algebra wikiPageWikiLink Linear_map.
- Hopf_algebra wikiPageWikiLink Linear_transformation.
- Hopf_algebra wikiPageWikiLink Locally_compact_quantum_group.
- Hopf_algebra wikiPageWikiLink Mathematics.
- Hopf_algebra wikiPageWikiLink Milnor–Moore_theorem.
- Hopf_algebra wikiPageWikiLink Monoidal_category.
- Hopf_algebra wikiPageWikiLink Morphism_of_algebraic_varieties.
- Hopf_algebra wikiPageWikiLink Multiplier_Hopf_algebra.
- Hopf_algebra wikiPageWikiLink Multiplier_algebra.
- Hopf_algebra wikiPageWikiLink Noncommutative_geometry.
- Hopf_algebra wikiPageWikiLink Order_(ring_theory).
- Hopf_algebra wikiPageWikiLink Primitive_element_(co-algebra).
- Hopf_algebra wikiPageWikiLink Quantization_(physics).
- Hopf_algebra wikiPageWikiLink Quantum_group.
- Hopf_algebra wikiPageWikiLink Quantum_groups.
- Hopf_algebra wikiPageWikiLink Quasi-Hopf_algebra.
- Hopf_algebra wikiPageWikiLink Quasitriangular_Hopf_algebra.
- Hopf_algebra wikiPageWikiLink Reduced_algebra.
- Hopf_algebra wikiPageWikiLink Reduced_ring.
- Hopf_algebra wikiPageWikiLink Regular_function.
- Hopf_algebra wikiPageWikiLink Representation_theory.
- Hopf_algebra wikiPageWikiLink Representation_theory_of_Hopf_algebras.
- Hopf_algebra wikiPageWikiLink Representative_function.
- Hopf_algebra wikiPageWikiLink Ribbon_Hopf_algebra.
- Hopf_algebra wikiPageWikiLink Rigid_category.
- Hopf_algebra wikiPageWikiLink Ring_of_symmetric_functions.
- Hopf_algebra wikiPageWikiLink Superalgebra.
- Hopf_algebra wikiPageWikiLink Supercommutative_algebra.
- Hopf_algebra wikiPageWikiLink Supergroup_(physics).
- Hopf_algebra wikiPageWikiLink Sweedler_notation.
- Hopf_algebra wikiPageWikiLink Sweedlers_Hopf_algebra.
- Hopf_algebra wikiPageWikiLink Symmetric_algebra.
- Hopf_algebra wikiPageWikiLink Tannaka–Krein_duality.
- Hopf_algebra wikiPageWikiLink Tensor_algebra.
- Hopf_algebra wikiPageWikiLink Topological_space.
- Hopf_algebra wikiPageWikiLink Unital_algebra.
- Hopf_algebra wikiPageWikiLink Universal_enveloping_algebra.