Symmetric Functions and Hall Polynomials (Paperback)

I.G. Macdonald

ISBN 10: 0198504500 / ISBN 13: 9780198504504

Published by Oxford University Press, Oxford, 1998

About this Item

Paperback. This is a new and much expanded edition of Professor Macdonald's acclaimed monograph on Symmetric Functions and Hall Polynomials. Almost every chapter has new sections and many new examples have been included throughout. In addition there are two new chapters (6 and 7).Chapter 6 contains an extended account of a family of symmetric functions depending on two parameters. These symmetric functions include as particular cases many of thoseencountered earlier in the book and they also include, as a limiting case, Jack's symmetric functions depending on a parameter *a. Many of the properties of the Schur functions generalize to thesetwo-parameter symmetric functions.Chapter 7 is devoted to the study of the zxonal polynomials, long familiar to staticians. From one point of view, they are a special case of Jack's symmetric functions (the parameter *a being equal to 2) but their combinatorial and group-theoretic connections make them worthy of study in their own right. The only book available on the subject, this is a new and expanded edition of a widely acclaimed monograph. Almost every chapter has new sections and many new examples have been included throughout. New chapters on a family of symmetric functions rationally on two parameters, and on zonal polynomials bring this book up-to-date with research being conducted in the field Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9780198504504

Bibliographic Details

• Title: Symmetric Functions and Hall Polynomials (Paperback)
• Publisher: Oxford University Press, Oxford
• Publication Date: 1998
• Language: English
• ISBN 10: 0198504500
• ISBN 13: 9780198504504
• Binding: Paperback
• Edition: 2nd Edition
• Condition: new

About this title

Synopsis

This new and much expanded edition of a well-received book remains the only text available on the subject of symmetric functions and Hall polynomials. There are new sections in almost every chapter, and many new examples have been included throughout.

About the Author

Professor Ian Grant Macdonald, Emeritus Professor, School of Mathematical Sciences, Queen Mary and Westfield College, Mile End Road, London, E1 4NS. Tel: 0171 975 5514; fax: 0181 981 9587. Professor Macdonald is a series editor for the Oxford Mathematical Monographs series, and is a key speaker at the International Congress of Mathematicians 1998.