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- Littlewood–Richardson_rule abstract "In mathematics, the Littlewood–Richardson rule is a combinatorial description of the coefficients that arise when decomposing a product of two Schur functions as a linear combination of other Schur functions. These coefficients are natural numbers, which the Littlewood–Richardson rule describes as counting certain skew tableaux. They occur in many other mathematical contexts, for instance as multiplicity in the decomposition of tensor products of irreducible representations of general linear groups (or related groups like the special linear and special unitary groups), or in the decomposition of certain induced representations in the representation theory of the symmetric group, or in the area of algebraic combinatorics dealing with Young tableaux and symmetric polynomials.Littlewood–Richardson coefficients depend on three partitions, say , of which and describe the Schur functions being multiplied, and gives the Schur function of which this is the coefficient in the linear combination; in other words they are the coefficients such thatThe Littlewood–Richardson rule states that is equal to the number of Littlewood–Richardson tableaux of skew shape and of weight .".
- Littlewood–Richardson_rule thumbnail LR_tableau_of_shape_(4,3,2)-(2,1)_word_112123.svg?width=300.
- Littlewood–Richardson_rule wikiPageID "16004359".
- Littlewood–Richardson_rule wikiPageRevisionID "606795644".
- Littlewood–Richardson_rule align "right".
- Littlewood–Richardson_rule author1Link "Dudley E. Littlewood".
- Littlewood–Richardson_rule author2Link "Archibald Read Richardson".
- Littlewood–Richardson_rule authorlink "Craige Schensted".
- Littlewood–Richardson_rule first "A. R.".
- Littlewood–Richardson_rule first "C.".
- Littlewood–Richardson_rule first "D. E.".
- Littlewood–Richardson_rule last "Littlewood".
- Littlewood–Richardson_rule last "Richardson".
- Littlewood–Richardson_rule last "Schensted".
- Littlewood–Richardson_rule loc "theorem III p. 119".
- Littlewood–Richardson_rule quote "Unfortunately the Littlewood–Richardson rule is much harder to prove than was at first suspected. The author was once told that the Littlewood–Richardson rule helped to get men on the moon but was not proved until after they got there.".
- Littlewood–Richardson_rule width "33.0".
- Littlewood–Richardson_rule year "1934".
- Littlewood–Richardson_rule year "1961".
- Littlewood–Richardson_rule subject Category:Algebraic_combinatorics.
- Littlewood–Richardson_rule subject Category:Invariant_theory.
- Littlewood–Richardson_rule subject Category:Representation_theory.
- Littlewood–Richardson_rule subject Category:Symmetric_functions.
- Littlewood–Richardson_rule comment "In mathematics, the Littlewood–Richardson rule is a combinatorial description of the coefficients that arise when decomposing a product of two Schur functions as a linear combination of other Schur functions. These coefficients are natural numbers, which the Littlewood–Richardson rule describes as counting certain skew tableaux.".
- Littlewood–Richardson_rule label "Littlewood–Richardson rule".
- Littlewood–Richardson_rule label "Règle de Littlewood-Richardson".
- Littlewood–Richardson_rule sameAs Littlewood%E2%80%93Richardson_rule.
- Littlewood–Richardson_rule sameAs Règle_de_Littlewood-Richardson.
- Littlewood–Richardson_rule sameAs Q15304008.
- Littlewood–Richardson_rule sameAs Q15304008.
- Littlewood–Richardson_rule wasDerivedFrom Littlewood–Richardson_rule?oldid=606795644.
- Littlewood–Richardson_rule depiction LR_tableau_of_shape_(4,3,2)-(2,1)_word_112123.svg.