Wachs, Michelle L. Flagged Schur functions, Schubert polynomials, and symmetrizing operators. (English) Zbl 0579.05001 J. Comb. Theory, Ser. A 40, 276-289 (1985). The author has shown that any flagged Schur function can be obtained by applying a sequence of symmetrizing operators to some monomial. A new inductive proof of the Jacobi-Trudi identity has also been obtained by studying the effect of these above operators. Reviewer: B.M.Agrawal Cited in 5 ReviewsCited in 42 Documents MSC: 05A05 Permutations, words, matrices 05A19 Combinatorial identities, bijective combinatorics 20C30 Representations of finite symmetric groups Keywords:flagged Schur function; monomial; Jacobi-Trudi identity PDF BibTeX XML Cite \textit{M. L. Wachs}, J. Comb. Theory, Ser. A 40, 276--289 (1985; Zbl 0579.05001) Full Text: DOI References: [1] \scI. Gessel, Determinants and plane partitions, preprint. [2] Lascoux, A; Schutzenberger, M, Géométrie algébrique-polynômes de Schubert, C. R. acad. sci. Paris, 294, 447-450, (1982) · Zbl 0495.14031 [3] MacDonald, I.G, Symmetric functions and Hall polynomials, (1979), Oxford Univ. Press (Clarendon) London/New York · Zbl 0487.20007 [4] Stanley, R.P; Stanley, R.P, Theory and application of plane partitions, I, II, Stud. appl. math., Stud. appl. math., 50, 259-279, (1971) · Zbl 0225.05012 [5] Stanley, R.P, On the number of reduced decompositions of elements of Coxeter groups, Europ. J. combinatorics, 5, 359-372, (1984) · Zbl 0587.20002 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.