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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其他版本 - 查看全部

Symmetric functions and Hall polynomials
Ian Grant Macdonald
部分預覽 - 1979
Symmetric Functions and Hall Polynomials
I. G. Macdonald
本書不提供預覽 - 2015

常見字詞

algebraically independent basis border strip Chapter coefficient column column-strict commutative conjugacy classes conjugate corresponding cotype cycle-type Deduce defined definition denote the number determinant double coset eigenvalues equal equivalent Example 9 finite o-module follows form a Z-basis formula Frobenius function on G functor Gelfand pair Hall-Littlewood hence homogeneous of degree homomorphism hook-lengths horizontal strip identity induction integer involution irreducible characters isomorphism Let G linear combination mapping module monomial non-negative integers notation Notes and references obtain operator orthogonality p-core P,oof particular partition of length permutation plane partitions polynomial function positive integers proof representation resp right-hand side ring scalar product Schur functions sequence Show skew diagram square standard tableaux strict partition strictly upper strip of length subgroup submodule subsets subspace summed over partitions symmetric group tableau tableaux of shape unitriangular variables vector space x e G zero zonal polynomials zonal spherical functions

提及本書的作品

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 keyspeaker at the International Congress of Mathematicians 1998.

書目資訊

QR code for Symmetric Functions and Hall Polynomials
書名Symmetric Functions and Hall Polynomials
Oxford classic texts in the physical sciences
Oxford mathematical monographs, ISSN 0964-9174
Oxford science publications
Oxford science publications: Oxford mathematical monographs
作者Ian Grant Macdonald
版本圖解, 重印
出版者Clarendon Press, 1998
ISBN0198504500, 9780198504504
頁數475 頁
  
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