Symmetric Functions and Hall Polynomials

封面
Clarendon Press, 1998 - 475 頁
3 書評
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.
 

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內容

SYMMETRIC FUNCTIONS
1
1 1 Example
8
HALL POLYNOMIALS
179
HALLLITTLEWOOD SYMMETRIC
204
The Hall algebra again
215
Orthogonality
222
Transition matrices
238
Greens polynomials
246
SYMMETRIC FUNCTIONS WITH
305
The operators Dn
317
Duality
327
The skew functions P QVM
343
Integral forms
352
Another scalar product
368
Jacks symmetric functions
376
ZONAL POLYNOMIALS
387

Schurs functions 250
265
Induction from parabolic subgroups
273
Construction of the characters
280
THE HECKE RING OF GLn OVER
292
Spherical functions
298
BIBLIOGRAPHY
457
NOTATION
468
I 2
474
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關於作者 (1998)

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.

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