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
Resource Information
The item Symmetric functions, Schubert polynomials, and degeneracy loci, Laurent Manivel ; translated by John R. Swallow represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Symmetric functions, Schubert polynomials, and degeneracy loci, Laurent Manivel ; translated by John R. Swallow represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
-
- eng
- fre
- eng
- Extent
- vii, 167 pages
- 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
- Isbn
- 9780821821541
- 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
- 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
- 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
- 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
- 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
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