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- Noncommutative_symmetric_function abstract "In mathematics, the noncommutative symmetric functions form a Hopf algebra NSymm analogous to the Hopf algebra of symmetric functions. The Hopf algebra NSymm was introduced by Israel M. Gelfand, Daniel Krob, and Alain Lascoux et al. (1995).It is noncommutative but cocommutative graded Hopf algebra. It has the Hopf algebra of symmetric functions as a quotient, and is a subalgebra of the Hopf algebra of permutations, and is the graded dual of the Hopf algebra of quasisymmetric function. Over the rational numbers it is isomorphic as a Hopf algebra to the universal enveloping algebra of the free Lie algebra on countably many variables.".
- Noncommutative_symmetric_function wikiPageID "42432800".
- Noncommutative_symmetric_function wikiPageLength "2375".
- Noncommutative_symmetric_function wikiPageOutDegree "8".
- Noncommutative_symmetric_function wikiPageRevisionID "603767868".
- Noncommutative_symmetric_function wikiPageWikiLink Category:Hopf_algebras.
- Noncommutative_symmetric_function wikiPageWikiLink Coalgebra.
- Noncommutative_symmetric_function wikiPageWikiLink Hopf_algebra.
- Noncommutative_symmetric_function wikiPageWikiLink Hopf_algebra_of_permutations.
- Noncommutative_symmetric_function wikiPageWikiLink Quasisymmetric_function.
- Noncommutative_symmetric_function wikiPageWikiLink Ring_of_symmetric_functions.
- Noncommutative_symmetric_function wikiPageWikiLink Symmetric_function.
- Noncommutative_symmetric_function wikiPageWikiLink Universal_enveloping_algebra.
- Noncommutative_symmetric_function wikiPageWikiLinkText "noncommutative symmetric function".
- Noncommutative_symmetric_function first "Alain".
- Noncommutative_symmetric_function first "Bernard".
- Noncommutative_symmetric_function first "Daniel".
- Noncommutative_symmetric_function first "Israel M.".
- Noncommutative_symmetric_function first "Jean-Yves".
- Noncommutative_symmetric_function first "Vladimir S.".
- Noncommutative_symmetric_function issue "2".
- Noncommutative_symmetric_function journal "Adv. Math.".
- Noncommutative_symmetric_function last "Gelfand".
- Noncommutative_symmetric_function last "Krob".
- Noncommutative_symmetric_function last "Lascoux".
- Noncommutative_symmetric_function last "Leclerc".
- Noncommutative_symmetric_function last "Retakh".
- Noncommutative_symmetric_function last "Thibon".
- Noncommutative_symmetric_function mr "1327096".
- Noncommutative_symmetric_function pages "218".
- Noncommutative_symmetric_function title "Noncommutative symmetric functions".
- Noncommutative_symmetric_function volume "112".
- Noncommutative_symmetric_function wikiPageUsesTemplate Template:Citation.
- Noncommutative_symmetric_function wikiPageUsesTemplate Template:Harvs.
- Noncommutative_symmetric_function year "1995".
- Noncommutative_symmetric_function subject Category:Hopf_algebras.
- Noncommutative_symmetric_function comment "In mathematics, the noncommutative symmetric functions form a Hopf algebra NSymm analogous to the Hopf algebra of symmetric functions. The Hopf algebra NSymm was introduced by Israel M. Gelfand, Daniel Krob, and Alain Lascoux et al. (1995).It is noncommutative but cocommutative graded Hopf algebra. It has the Hopf algebra of symmetric functions as a quotient, and is a subalgebra of the Hopf algebra of permutations, and is the graded dual of the Hopf algebra of quasisymmetric function.".
- Noncommutative_symmetric_function label "Noncommutative symmetric function".
- Noncommutative_symmetric_function sameAs Q17099437.
- Noncommutative_symmetric_function sameAs m.0107_t4x.
- Noncommutative_symmetric_function sameAs Q17099437.
- Noncommutative_symmetric_function wasDerivedFrom Noncommutative_symmetric_function?oldid=603767868.
- Noncommutative_symmetric_function isPrimaryTopicOf Noncommutative_symmetric_function.