Holdings: Symmetric functions, Schubert polynomials, and degeneracy loci

Symmetric functions, Schubert polynomials, and degeneracy loci:

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Bibliographic Details
Main Author:	Manivel, Laurent (Author)
Format:	Book
Language:	English French
Published:	Providence, RI American Mathematical Society 2001
Series:	SMF/AMS texts and monographs 6 Collection SMF Cours spécialisés ; 3
Subjects:	Combinatieleer Fonctions symétriques Homologie Polynomen Schubert, Variétés de Symmetrie Homology theory Schubert varieties Symmetric functions Symmetrische Funktion Schubert-Polynom Schubert-Mannigfaltigkeit Homologietheorie
Online Access:	Inhaltsverzeichnis
Item Description:	Includes bibliographical references and index
Physical Description:	VII, 167 S. graph. Darst.

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MARC


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Record in the Search Index

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adam_text	Titel: Symmetric functions, Schubert polynomials and degeneracy loci Autor: Manivel, Laurent Jahr: 2001 Contents Introduction 1 Chapter 1. The King of Symmetric Functions 7 1.1. Ordinary Functions 7 1.2. Schur Functions 9 1.3. The Kniitli Correspondence 15 1.-1. Some Applications to Symmetric Functions 18 1.5. The Littlewood-Richardson Rule 24 1.0. The Characters of the Symmetric Group 34 1.7. Kostka-Foulkes Polynomials 46 1.8. How the Symmetric Group Acts on Tableaux 52 Chapter 2. Schubert Polynomials 57 2.1. Permutations and the Bruhat Order 57 2.2. Some Classes of Permutations 64 2.3. Schubert Polynomials G9 2.4. Some Properties of Schubert Polynomials 75 2.5. Simple Schubert Polynomials 78 2.6. Flagged Schur Functions 85 2.7. Multiplication of Schur Polynomials 92 2.8. Enumeration of Reduced Words 97 Chapter 3. Schubert Varieties 101 3.1. Grassmannians 101 3.2. Schubert Varieties of Grassmannians 104 3.3. Standard Monomials 111 3.4. Singularities of Schubert Varieties 115 3.5. Characteristic Classes and Degeneracy Loci 121 3.6. Flag Varieties 132 3.7. Singularities of Schubert Varieties, reprise. 142 3.8. Degeneracy Loci and Schubert Polynomials 147 A Brief Introduction to Singular Homology 153 A.l. Singular Homology 153 A.2. Singular Cohoinology 155 A.3. The Fundamental Class and Poincare Duality 156 A.4. Intersection of Algebraic Subvarieties 158 Bibliography 161 Index 165
any_adam_object	1
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dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515/.22
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dewey-tens	510 - Mathematics
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indexdate	2024-07-09T19:03:07Z
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language	English French
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physical	VII, 167 S. graph. Darst.
publishDate	2001
publishDateSearch	2001
publishDateSort	2001
publisher	American Mathematical Society
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series	SMF/AMS texts and monographs Collection SMF
series2	SMF/AMS texts and monographs Collection SMF : Cours spécialisés
spelling	Manivel, Laurent Verfasser aut Fonctions symétriques, polynômes de Schubert et lieux de degénérescence Symmetric functions, Schubert polynomials, and degeneracy loci Laurent Manivel ; translated by John R. Swallow Providence, RI American Mathematical Society 2001 VII, 167 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier SMF/AMS texts and monographs 6 Collection SMF : Cours spécialisés 3 Includes bibliographical references and index Combinatieleer gtt Fonctions symétriques Homologie Polynomen gtt Schubert, Variétés de Symmetrie gtt Homology theory Schubert varieties Symmetric functions Symmetrische Funktion (DE-588)4342453-3 gnd rswk-swf Schubert-Polynom (DE-588)4335881-0 gnd rswk-swf Schubert-Mannigfaltigkeit (DE-588)4512043-2 gnd rswk-swf Homologietheorie (DE-588)4141714-8 gnd rswk-swf Symmetrische Funktion (DE-588)4342453-3 s Schubert-Polynom (DE-588)4335881-0 s Homologietheorie (DE-588)4141714-8 s DE-604 Schubert-Mannigfaltigkeit (DE-588)4512043-2 s 1\p DE-604 SMF/AMS texts and monographs 6 (DE-604)BV013184477 6 Collection SMF Cours spécialisés ; 3 (DE-604)BV012699276 3 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009882982&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Manivel, Laurent Symmetric functions, Schubert polynomials, and degeneracy loci SMF/AMS texts and monographs Collection SMF Combinatieleer gtt Fonctions symétriques Homologie Polynomen gtt Schubert, Variétés de Symmetrie gtt Homology theory Schubert varieties Symmetric functions Symmetrische Funktion (DE-588)4342453-3 gnd Schubert-Polynom (DE-588)4335881-0 gnd Schubert-Mannigfaltigkeit (DE-588)4512043-2 gnd Homologietheorie (DE-588)4141714-8 gnd
subject_GND	(DE-588)4342453-3 (DE-588)4335881-0 (DE-588)4512043-2 (DE-588)4141714-8
title	Symmetric functions, Schubert polynomials, and degeneracy loci
title_alt	Fonctions symétriques, polynômes de Schubert et lieux de degénérescence
title_auth	Symmetric functions, Schubert polynomials, and degeneracy loci
title_exact_search	Symmetric functions, Schubert polynomials, and degeneracy loci
title_full	Symmetric functions, Schubert polynomials, and degeneracy loci Laurent Manivel ; translated by John R. Swallow
title_fullStr	Symmetric functions, Schubert polynomials, and degeneracy loci Laurent Manivel ; translated by John R. Swallow
title_full_unstemmed	Symmetric functions, Schubert polynomials, and degeneracy loci Laurent Manivel ; translated by John R. Swallow
title_short	Symmetric functions, Schubert polynomials, and degeneracy loci
title_sort	symmetric functions schubert polynomials and degeneracy loci
topic	Combinatieleer gtt Fonctions symétriques Homologie Polynomen gtt Schubert, Variétés de Symmetrie gtt Homology theory Schubert varieties Symmetric functions Symmetrische Funktion (DE-588)4342453-3 gnd Schubert-Polynom (DE-588)4335881-0 gnd Schubert-Mannigfaltigkeit (DE-588)4512043-2 gnd Homologietheorie (DE-588)4141714-8 gnd
topic_facet	Combinatieleer Fonctions symétriques Homologie Polynomen Schubert, Variétés de Symmetrie Homology theory Schubert varieties Symmetric functions Symmetrische Funktion Schubert-Polynom Schubert-Mannigfaltigkeit Homologietheorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009882982&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV013184477 (DE-604)BV012699276
work_keys_str_mv	AT manivellaurent fonctionssymetriquespolynomesdeschubertetlieuxdedegenerescence AT manivellaurent symmetricfunctionsschubertpolynomialsanddegeneracyloci

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