Symmetric Functions and Hall Polynomials by I. G. Macdonald

Symmetric Functions and Hall Polynomials

byI. G. Macdonald

Paperback | November 22, 2015

not yet rated|write a review

Pricing and Purchase Info

$56.70 online 
$63.00 list price
Earn 284 plum® points

Out of stock online

Not available in stores


This reissued classic text is the acclaimed second edition of Professor Ian Macdonald's groundbreaking monograph on symmetric functions and Hall polynomials.The first edition was published in 1979, before being significantly expanded into the present edition in 1995. This text is widely regarded as the best source of information on Hall polynomials and what have come to be known as Macdonald polynomials, central to a number of key developments inmathematics and mathematical physics in the 21st century.Macdonald polynomials gave rise to the subject of double affine Hecke algebras (or Cherednik algebras) important in representation theory. String theorists use Macdonald polynomials to attack the so-called AGT conjectures. Macdonald polynomials have been recently used to construct knot invariants.They are also a central tool for a theory of integrable stochastic models that have found a number of applications in probability, such as random matrices, directed polymers in random media, driven lattice gases, and so on. Macdonald polynomials have become a part of basic material that a researcher simply must know if (s)he wants to work in one of the above domains, ensuring this new edition will appeal to a very broad mathematical audience.Featuring a new foreword by Professor Richard Stanley of MIT.

About The Author

I. G. Macdonald is Emeritus Professor at Queen Mary and Westfield College, London.
Based On A True Story: A Memoir
Based On A True Story: A Memoir

by Norm Macdonald


In stock online

Available in stores

H Is For Hawk
H Is For Hawk

by Helen Macdonald


In stock online

Available in stores

Fall on Your Knees
Fall on Your Knees

by Ann-marie Macdonald


In stock online

Available in stores

Shop this author

Details & Specs

Title:Symmetric Functions and Hall PolynomialsFormat:PaperbackDimensions:496 pages, 9.21 × 6.14 × 1 inPublished:November 22, 2015Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198739125

ISBN - 13:9780198739128

Customer Reviews of Symmetric Functions and Hall Polynomials


Extra Content

Table of Contents

1. Symmetric functions2. Hall polynomials3. HallLittlewood symmetric functions4. The characters of GLn over a finite field5. The Hecke ring of GLn over a finite field6. Symmetric functions with two parameters7. Zonal polynomials

Editorial Reviews

From reviews of the second edition: "Evidently this second edition will be the source and reference book for symmetric functions in the near future." --Zbl. Math.