Lascoux, Alain; Schützenberger, Marcel-Paul Schubert polynomials and the Littlewood-Richardson rule. (English) Zbl 0586.20007 Lett. Math. Phys. 10, 111-124 (1985). Using Schubert polynomials, the authors give an algorithm for expressing the product of two Schur functions as a sum of Schur functions. Their algorithm is both more general and faster than the Littlewood-Richardson rule. Reviewer: D.M.Bressoud Cited in 4 ReviewsCited in 50 Documents MSC: 20C30 Representations of finite symmetric groups 05A19 Combinatorial identities, bijective combinatorics Keywords:Schubert polynomials; algorithm; product of two Schur functions; sum of Schur functions; Littlewood-Richardson rule PDF BibTeX XML Cite \textit{A. Lascoux} and \textit{M.-P. Schützenberger}, Lett. Math. Phys. 10, 111--124 (1985; Zbl 0586.20007) Full Text: DOI References: [1] Biedenharn, L. C. and Louck, J. D., ?Angular Momentum in Quantum Physics, Racah Wigner Algebra?, Encycl. of Maths Vols. 8, 9, Addison-Wesley, 1981. · Zbl 0474.00023 [2] LascouxA. and SchützenbergerM. P., Comptes Rendus Acad. Paris. 294, 447 (1982). [3] Lascoux, A. and Schützenberger, M. P., in Invariant Theory, Springer Lecture Notes in Maths No. 996. [4] Littlewood, D. E., The Theory of Group Characters, Oxford, 1950. · Zbl 0038.16504 [5] Macdonald, I. G., Symmetric Functions and Hall Polynomials, Oxford Maths Mono., 1979. · Zbl 0487.20007 [6] StanleyR., J. Math Phys. 21, 2321-2326 (1980). · Zbl 0585.17006 · doi:10.1063/1.524687 [7] StanleyR., J. Europ. Comb. 5, 359-372 (1984). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.