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- Hopf_algebra_of_permutations abstract "In algebra, the Malvenuto–Poirier–Reutenauer Hopf algebra of permutations or MPR Hopf algebra is a Hopf algebra with a basis of all elements of all the finite symmetric groups Sn, and is a non-commutative analogue of the Hopf algebra of symmetric functions. It is both free as an algebra and graded-cofree as a graded coalgebra, so is in some sense as far as possible from being either commutative or cocommutative. It was introduced by Malvenuto & Reutenauer (1994) and studied by Poirier & Reutenauer (1995).".
- Hopf_algebra_of_permutations thumbnail QSymDiagram.png?width=300.
- Hopf_algebra_of_permutations wikiPageID "42350895".
- Hopf_algebra_of_permutations wikiPageLength "3137".
- Hopf_algebra_of_permutations wikiPageOutDegree "13".
- Hopf_algebra_of_permutations wikiPageRevisionID "621361117".
- Hopf_algebra_of_permutations wikiPageWikiLink Algebra_(ring_theory).
- Hopf_algebra_of_permutations wikiPageWikiLink Algebra_over_a_field.
- Hopf_algebra_of_permutations wikiPageWikiLink Category:Hopf_algebras.
- Hopf_algebra_of_permutations wikiPageWikiLink Coalgebra.
- Hopf_algebra_of_permutations wikiPageWikiLink Cofree_coalgebra.
- Hopf_algebra_of_permutations wikiPageWikiLink Free_abelian_group.
- Hopf_algebra_of_permutations wikiPageWikiLink Free_algebra.
- Hopf_algebra_of_permutations wikiPageWikiLink Hopf_algebra.
- Hopf_algebra_of_permutations wikiPageWikiLink Hopf_algebra_of_symmetric_functions.
- Hopf_algebra_of_permutations wikiPageWikiLink Noncommutative_symmetric_function.
- Hopf_algebra_of_permutations wikiPageWikiLink Quasisymmetric_function.
- Hopf_algebra_of_permutations wikiPageWikiLink Ring_of_symmetric_functions.
- Hopf_algebra_of_permutations wikiPageWikiLink Shuffle_algebra.
- Hopf_algebra_of_permutations wikiPageWikiLink Shuffle_product.
- Hopf_algebra_of_permutations wikiPageWikiLink Symmetric_function.
- Hopf_algebra_of_permutations wikiPageWikiLink File:QSymDiagram.png.
- Hopf_algebra_of_permutations wikiPageWikiLinkText "Hopf algebra of permutations".
- Hopf_algebra_of_permutations hasPhotoCollection Hopf_algebra_of_permutations.
- Hopf_algebra_of_permutations wikiPageUsesTemplate Template:Citation.
- Hopf_algebra_of_permutations wikiPageUsesTemplate Template:Harvtxt.
- Hopf_algebra_of_permutations subject Category:Hopf_algebras.
- Hopf_algebra_of_permutations hypernym Algebra.
- Hopf_algebra_of_permutations comment "In algebra, the Malvenuto–Poirier–Reutenauer Hopf algebra of permutations or MPR Hopf algebra is a Hopf algebra with a basis of all elements of all the finite symmetric groups Sn, and is a non-commutative analogue of the Hopf algebra of symmetric functions. It is both free as an algebra and graded-cofree as a graded coalgebra, so is in some sense as far as possible from being either commutative or cocommutative.".
- Hopf_algebra_of_permutations label "Hopf algebra of permutations".
- Hopf_algebra_of_permutations sameAs m.0105s25z.
- Hopf_algebra_of_permutations sameAs Q17027553.
- Hopf_algebra_of_permutations sameAs Q17027553.
- Hopf_algebra_of_permutations wasDerivedFrom Hopf_algebra_of_permutations?oldid=621361117.
- Hopf_algebra_of_permutations depiction QSymDiagram.png.
- Hopf_algebra_of_permutations isPrimaryTopicOf Hopf_algebra_of_permutations.