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- Ring_of_symmetric_functions abstract "In algebra and in particular in algebraic combinatorics, the ring of symmetric functions is a specific limit of the rings of symmetric polynomials in n indeterminates, as n goes to infinity. This ring serves as universal structure in which relations between symmetric polynomials can be expressed in a way independent of the number n of indeterminates (but its elements are neither polynomials nor functions). Among other things, this ring plays an important role in the representation theory of the symmetric group.The ring of symmetric functions can be given a coproduct and a bilinear form making it into a positive selfadjoint graded Hopf algebra that is both commutative and cocommutative.".
- Ring_of_symmetric_functions wikiPageID "364460".
- Ring_of_symmetric_functions wikiPageLength "26571".
- Ring_of_symmetric_functions wikiPageOutDegree "64".
- Ring_of_symmetric_functions wikiPageRevisionID "682439954".
- Ring_of_symmetric_functions wikiPageWikiLink Algebra.
- Ring_of_symmetric_functions wikiPageWikiLink Algebra_over_a_field.
- Ring_of_symmetric_functions wikiPageWikiLink Algebra_over_a_ring.
- Ring_of_symmetric_functions wikiPageWikiLink Algebraic_combinatorics.
- Ring_of_symmetric_functions wikiPageWikiLink Algebraic_independence.
- Ring_of_symmetric_functions wikiPageWikiLink Algebraically_independent.
- Ring_of_symmetric_functions wikiPageWikiLink Automorphism.
- Ring_of_symmetric_functions wikiPageWikiLink Category:Algebraic_combinatorics.
- Ring_of_symmetric_functions wikiPageWikiLink Category:Invariant_theory.
- Ring_of_symmetric_functions wikiPageWikiLink Category:Permutations.
- Ring_of_symmetric_functions wikiPageWikiLink Category:Polynomials.
- Ring_of_symmetric_functions wikiPageWikiLink Category:Symmetric_functions.
- Ring_of_symmetric_functions wikiPageWikiLink Category:Types_of_functions.
- Ring_of_symmetric_functions wikiPageWikiLink Complete_homogeneous_symmetric_polynomial.
- Ring_of_symmetric_functions wikiPageWikiLink Direct_limit.
- Ring_of_symmetric_functions wikiPageWikiLink Elementary_symmetric_polynomial.
- Ring_of_symmetric_functions wikiPageWikiLink Exp_algebra.
- Ring_of_symmetric_functions wikiPageWikiLink Exp_ring.
- Ring_of_symmetric_functions wikiPageWikiLink Formal_power_series.
- Ring_of_symmetric_functions wikiPageWikiLink Fundamental_theorem_of_symmetric_polynomials.
- Ring_of_symmetric_functions wikiPageWikiLink Generating_function.
- Ring_of_symmetric_functions wikiPageWikiLink Graded_ring.
- Ring_of_symmetric_functions wikiPageWikiLink Group_action.
- Ring_of_symmetric_functions wikiPageWikiLink Hilbert–Poincaré_series.
- Ring_of_symmetric_functions wikiPageWikiLink Homogeneous_polynomial.
- Ring_of_symmetric_functions wikiPageWikiLink Hopf_algebra.
- Ring_of_symmetric_functions wikiPageWikiLink Integer_partition.
- Ring_of_symmetric_functions wikiPageWikiLink Invariant_(mathematics).
- Ring_of_symmetric_functions wikiPageWikiLink Inverse_limit.
- Ring_of_symmetric_functions wikiPageWikiLink Involution_(mathematics).
- Ring_of_symmetric_functions wikiPageWikiLink Isomorphic.
- Ring_of_symmetric_functions wikiPageWikiLink Isomorphism.
- Ring_of_symmetric_functions wikiPageWikiLink Misnomer.
- Ring_of_symmetric_functions wikiPageWikiLink Module_(mathematics).
- Ring_of_symmetric_functions wikiPageWikiLink Monomial.
- Ring_of_symmetric_functions wikiPageWikiLink Monomial_symmetric_polynomial.
- Ring_of_symmetric_functions wikiPageWikiLink Newton_identities.
- Ring_of_symmetric_functions wikiPageWikiLink Newtons_identities.
- Ring_of_symmetric_functions wikiPageWikiLink Partition_(number_theory).
- Ring_of_symmetric_functions wikiPageWikiLink Polynomial_ring.
- Ring_of_symmetric_functions wikiPageWikiLink Power_sum_symmetric_polynomial.
- Ring_of_symmetric_functions wikiPageWikiLink Quasisymmetric_function.
- Ring_of_symmetric_functions wikiPageWikiLink Rational_number.
- Ring_of_symmetric_functions wikiPageWikiLink Representation_theory_of_the_symmetric_group.
- Ring_of_symmetric_functions wikiPageWikiLink Richard_P._Stanley.
- Ring_of_symmetric_functions wikiPageWikiLink Ring_(mathematics).
- Ring_of_symmetric_functions wikiPageWikiLink Ring_homomorphism.
- Ring_of_symmetric_functions wikiPageWikiLink Schur_polynomial.
- Ring_of_symmetric_functions wikiPageWikiLink Subring.
- Ring_of_symmetric_functions wikiPageWikiLink Symmetric_group.
- Ring_of_symmetric_functions wikiPageWikiLink Symmetric_polynomial.
- Ring_of_symmetric_functions wikiPageWikiLink sub%3E,xe2x80xa6.
- Ring_of_symmetric_functions wikiPageWikiLinkText "Ring of symmetric functions".
- Ring_of_symmetric_functions wikiPageWikiLinkText "algebra of symmetric functions".
- Ring_of_symmetric_functions wikiPageWikiLinkText "monomial symmetric functions".
- Ring_of_symmetric_functions wikiPageWikiLinkText "ring of symmetric functions".
- Ring_of_symmetric_functions wikiPageWikiLinkText "ring of symmetric polynomials".
- Ring_of_symmetric_functions wikiPageWikiLinkText "symmetric function".
- Ring_of_symmetric_functions hasPhotoCollection Ring_of_symmetric_functions.
- Ring_of_symmetric_functions wikiPageUsesTemplate Template:About.
- Ring_of_symmetric_functions wikiPageUsesTemplate Template:Brackets.
- Ring_of_symmetric_functions wikiPageUsesTemplate Template:Main.
- Ring_of_symmetric_functions wikiPageUsesTemplate Template:MathSciNet.
- Ring_of_symmetric_functions subject Category:Algebraic_combinatorics.
- Ring_of_symmetric_functions subject Category:Invariant_theory.
- Ring_of_symmetric_functions subject Category:Permutations.
- Ring_of_symmetric_functions subject Category:Polynomials.
- Ring_of_symmetric_functions subject Category:Symmetric_functions.
- Ring_of_symmetric_functions subject Category:Types_of_functions.
- Ring_of_symmetric_functions hypernym Limit.
- Ring_of_symmetric_functions type Stream.
- Ring_of_symmetric_functions type Type.
- Ring_of_symmetric_functions type Combinatoric.
- Ring_of_symmetric_functions type Function.
- Ring_of_symmetric_functions type Polynomial.
- Ring_of_symmetric_functions type Type.
- Ring_of_symmetric_functions comment "In algebra and in particular in algebraic combinatorics, the ring of symmetric functions is a specific limit of the rings of symmetric polynomials in n indeterminates, as n goes to infinity. This ring serves as universal structure in which relations between symmetric polynomials can be expressed in a way independent of the number n of indeterminates (but its elements are neither polynomials nor functions).".
- Ring_of_symmetric_functions label "Ring of symmetric functions".
- Ring_of_symmetric_functions sameAs m.01_tvf.
- Ring_of_symmetric_functions sameAs Q17102788.
- Ring_of_symmetric_functions sameAs Q17102788.
- Ring_of_symmetric_functions wasDerivedFrom Ring_of_symmetric_functions?oldid=682439954.
- Ring_of_symmetric_functions isPrimaryTopicOf Ring_of_symmetric_functions.