Symmetric Functions and Hall Polynomials
Seiten
1998
|
2nd Revised edition
Clarendon Press (Verlag)
978-0-19-850450-4 (ISBN)
Clarendon Press (Verlag)
978-0-19-850450-4 (ISBN)
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
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 α. 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 α being equal to 2) but their combinatorial and group-theoretic connections make them worthy of study in their own right.
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 α. 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 α being equal to 2) but their combinatorial and group-theoretic connections make them worthy of study in their own right.
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.
I. Symmetric functions ; II. Hall polynomials ; III. HallLittlewood symmetric functions ; IV. The characters of GLn over a finite field ; V. The Hecke ring of GLn over a finite field ; VI. Symmetric functions with two parameters ; VII. Zonal polynomials
| Erscheint lt. Verlag | 1.10.1998 |
|---|---|
| Reihe/Serie | Oxford Mathematical Monographs |
| Zusatzinfo | line figures |
| Verlagsort | Oxford |
| Sprache | englisch |
| Maße | 157 x 233 mm |
| Gewicht | 707 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Graphentheorie | |
| ISBN-10 | 0-19-850450-0 / 0198504500 |
| ISBN-13 | 978-0-19-850450-4 / 9780198504504 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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