Oxford Mathematical Monographs

2. Auflage 1998
ISBN: 978-0-19-850450-4
Verlag: OUP Oxford

Buch, Englisch, 488 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 734 g

Reihe: Oxford Mathematical Monographs

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 those encountered 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 these two-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.

Autoren/Hrsg.

Macdonald, I. G.

Fachgebiete

• Mathematik | Informatik Mathematik Operations Research Graphentheorie
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Computeralgebra

Über Autor(innen)

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