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Symmetric Functions, Schubert Polynomials and Degeneracy Loci
     

Symmetric Functions, Schubert Polynomials and Degeneracy Loci

by Laurent Manivel
 

ISBN-10: 0821821547

ISBN-13: 9780821821541

Pub. Date: 08/16/2001

Publisher: American Mathematical Society

This text serves as an introduction to the combinatorics 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. The first chapter of the book is devoted to symmetric

Overview

This text serves as an introduction to the combinatorics 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. The first chapter of the book is devoted to symmetric functions and especially to Schur polynomials. These are polynomials with positive integer coefficients in which each of the monomials correspond to a Young tableau with the property of being ''semistandard''. The second chapter is devoted to the study of Schubert polynomials. The final chapter is geometric. It is devoted to Schubert varieties, subvarieties of Grassmannians, and flag varieties defined by certain incidence conditions with fixed subspaces.

Product Details

ISBN-13:
9780821821541
Publisher:
American Mathematical Society
Publication date:
08/16/2001
Series:
SMF/AMS Texts and Monographs , #6
Edition description:
New Edition
Pages:
167
Product dimensions:
7.00(w) x 9.90(h) x 0.50(d)

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