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An Introduction to Symmetric Functions and Their Combinatorics by Eric S. Egge is a nonfiction available to read on EtoBox.

What is An Introduction to Symmetric Functions and Their Combinatorics about?

Contents Preface 1. Symmetric Polynomials, the Monomial Symmetric Polynomials, and Symmetric Functions 1.1. Symmetric Polynomials 1.2. The Monomial Symmetric Polynomials 1.3. Symmetric Functions 1.4. Problems 1.5. Notes 2. The Elementary, Complete Homogeneous, and Power Sum Symmetric Functions 2.1. The Elementary Symmetric Functions 2.2. The Complete Homogeneous Symmetric Functions 2.3. The Power Sum Symmetric Functions 2.4. Problems 3. Interlude: Evaluations of Symmetric Functions 3.1. Symmetric Function Identities 3.2. Binomial Coefficients 3.3. Stirling Numbers of the First and Second Kinds 3.4. q-Binomial Coefficients 3.5. Problems 3.6. Notes 4. Schur Polynomials and Schur Functions 4.1. Schur Functions and Semistandard Tableaux 4.2. Schur Polynomials as Ratios of Determinants 4.3. Problems 4.4. Notes 5. Interlude: A Rogues’ Gallery of Symmetric Functions 5.1. Skew Schur Functions 5.2. Stable Grothendieck Polynomials 5.3. Dual Stable Grothendieck Polynomials 5.4. The Chromatic Symmetric Function 5.5. Problems 5.6. Notes 6. The Jacobi–Trudi Identities and an Involution on 6.1. The First Jacobi–Trudi Identity 6.2. The Second Jacobi–Trudi Identity 6.3. The Involution 6.4. Problems

Who reads An Introduction to Symmetric Functions and Their Combinatorics?

Author

Eric S. Egge

Publisher

AMS

Published

2019

Language

EN

Category

nonfiction