Coverart for item
The Resource Symmetric functions, Schubert polynomials, and degeneracy loci, Laurent Manivel ; translated by John R. Swallow

Symmetric functions, Schubert polynomials, and degeneracy loci, Laurent Manivel ; translated by John R. Swallow

Label
Symmetric functions, Schubert polynomials, and degeneracy loci
Title
Symmetric functions, Schubert polynomials, and degeneracy loci
Statement of responsibility
Laurent Manivel ; translated by John R. Swallow
Creator
Subject
Language
  • eng
  • fre
  • eng
Summary
  • "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
  • "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."--BOOK JACKET
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Manivel, Laurent
Dewey number
515/.22
Illustrations
illustrations
Index
index present
LC call number
QA212
LC item number
.M3613 2001
Literary form
non fiction
Nature of contents
bibliography
Series statement
  • SMF/AMS texts and monographs,
  • Cours spécialisés
Series volume
  • v. 6
  • numéro 3, 1998
http://library.link/vocab/subjectName
  • Symmetric functions
  • Schubert varieties
  • Homology theory
Label
Symmetric functions, Schubert polynomials, and degeneracy loci, Laurent Manivel ; translated by John R. Swallow
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 161-164) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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
  • The Ring of Symmetric Functions
  • 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
  • Ordinary Functions
  • Singular Homology
  • Singular Cohomology
  • The Fundamental Class and Poincare Duality
  • Intersection of Algebraic Subvarieties
  • Schur Functions
  • The Knuth Correspondence
  • Some Applications to Symmetric Functions
  • The Littlewood-Richardson Rule
  • The Characters of the Symmetric Group
  • Kostka-Foulkes Polynomials
Control code
47140715
Dimensions
26 cm
Extent
vii, 167 pages
Isbn
9780821821541
Lccn
2001041290
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
Label
Symmetric functions, Schubert polynomials, and degeneracy loci, Laurent Manivel ; translated by John R. Swallow
Publication
Bibliography note
Includes bibliographical references (pages 161-164) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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
  • The Ring of Symmetric Functions
  • 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
  • Ordinary Functions
  • Singular Homology
  • Singular Cohomology
  • The Fundamental Class and Poincare Duality
  • Intersection of Algebraic Subvarieties
  • Schur Functions
  • The Knuth Correspondence
  • Some Applications to Symmetric Functions
  • The Littlewood-Richardson Rule
  • The Characters of the Symmetric Group
  • Kostka-Foulkes Polynomials
Control code
47140715
Dimensions
26 cm
Extent
vii, 167 pages
Isbn
9780821821541
Lccn
2001041290
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
Processing Feedback ...