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- catalog abstract ""This text serves as an introduction to the combinatories of symmetric functions, more precisely to Schur and Schubert polynomials. Simultaneously, it studies the geometry of Grassmannians, flag varieties and especially their Schubert varieties, and examines the profound connections that unite these subjects."--Jacket.".
- catalog alternative "Fonctions symétriques, polynômes de Schubert et lieux de deǵenérescence. English".
- catalog contributor b12223631.
- catalog created "2001.".
- catalog date "2001".
- catalog date "2001.".
- catalog dateCopyrighted "2001.".
- catalog description ""This text serves as an introduction to the combinatories of symmetric functions, more precisely to Schur and Schubert polynomials. Simultaneously, it studies the geometry of Grassmannians, flag varieties and especially their Schubert varieties, and examines the profound connections that unite these subjects."--Jacket.".
- catalog description "Includes bibliographical references (p. 161-164) and index.".
- catalog description "The Ring of Symmetric Functions -- Ordinary Functions -- Schur Functions -- The Knuth Correspondence -- Some Applications to Symmetric Functions -- The Littlewood-Richardson Rule -- The Characters of the Symmetric Group -- Kostka-Foulkes Polynomials -- How the Symmetric Group Acts on Tableaux -- Schubert Polynomials -- Permutations and the Bruhat Order -- Some Classes of Permutations -- Schubert Polynomials -- Some Properties of Schubert Polynomials -- Simple Schubert Polynomials -- Flagged Schur Functions -- Multiplication of Schur Polynomials -- Enumeration of Reduced Words -- Schubert Varieties -- Grassmannians -- Schubert Varieties of Grassmannians -- Standard Monomials -- Singularities of Schubert Varieties -- Characteristic Classes and Degeneracy Loci -- Flag Varieties -- Singularities of Schubert Varieties, reprise -- Degeneracy Loci and Schubert Polynomials -- A Brief Introduction to Singular Homology -- Singular Homology -- Singular Cohomology -- The Fundamental Class and Poincare Duality -- Intersection of Algebraic Subvarieties.".
- catalog extent "vii, 167 p. :".
- catalog isPartOf "Collection SMF. Cours spécialisés ; no 3.".
- catalog isPartOf "Cours spécialisés ; numéro 3, 1998".
- catalog isPartOf "SMF/AMS texts and monographs, 1525-2302 ; v. 6".
- catalog issued "2001".
- catalog issued "2001.".
- catalog language "eng fre".
- catalog language "eng".
- catalog publisher "Providence, RI : American Mathematical Society,".
- catalog subject "515/.22 21".
- catalog subject "Homology theory.".
- catalog subject "QA212 .M3613 2001".
- catalog subject "Schubert varieties.".
- catalog subject "Symmetric functions.".
- catalog tableOfContents "The Ring of Symmetric Functions -- Ordinary Functions -- Schur Functions -- The Knuth Correspondence -- Some Applications to Symmetric Functions -- The Littlewood-Richardson Rule -- The Characters of the Symmetric Group -- Kostka-Foulkes Polynomials -- How the Symmetric Group Acts on Tableaux -- Schubert Polynomials -- Permutations and the Bruhat Order -- Some Classes of Permutations -- Schubert Polynomials -- Some Properties of Schubert Polynomials -- Simple Schubert Polynomials -- Flagged Schur Functions -- Multiplication of Schur Polynomials -- Enumeration of Reduced Words -- Schubert Varieties -- Grassmannians -- Schubert Varieties of Grassmannians -- Standard Monomials -- Singularities of Schubert Varieties -- Characteristic Classes and Degeneracy Loci -- Flag Varieties -- Singularities of Schubert Varieties, reprise -- Degeneracy Loci and Schubert Polynomials -- A Brief Introduction to Singular Homology -- Singular Homology -- Singular Cohomology -- The Fundamental Class and Poincare Duality -- Intersection of Algebraic Subvarieties.".
- catalog title "Fonctions symétriques, polynômes de Schubert et lieux de deǵenérescence. English".
- catalog title "Symmetric functions, Schubert polynomials, and degeneracy loci / Laurent Manivel ; translated by John Swallow.".
- catalog type "text".