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1.

図書

図書
I.G. Macdonald
出版情報: Providence, R.I. : American Mathematical Society, c1998  xv, 53 p. ; 26 cm
シリーズ名: University lecture series ; 12
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2.

図書

図書
Jean Dieudonné ; translated by I.G. Macdonald
出版情報: New York : Academic Press, 1982  x, 289 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 97
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3.

図書

図書
by I.G. Macdonald
出版情報: Oxford : Clarendon Press, 1979  viii, 180 p. ; 24 cm
シリーズ名: Oxford mathematical monographs
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目次情報: 続きを見る
Symmetric Functions / I:
Partitions / 1:
The ring of symmetric functions / 2:
Schur functions / 3:
Orthogonality / 4:
Skew Schur functions / 5:
Transition matrices / 6:
The characters of the symmetric groups / 7:
Plethysm / 8:
The Littlewood-Richardson rule / 9:
Polynomial functors and polynomial representations / Appendix A:
Characters of wreath products / Appendix B:
Hall Polynomials / II:
Finite o-modules
The Hall algebra
The LR-sequence of a submodule
The Hall polynomial
Appendix: Another proof of Hall's theorem / A. Zelevinsky
Hall-Littlewood Symmetric Functions / III:
The symmetric polynomials Rl
Hall-Littlewood functions
The Hall algebra again
Skew Hall-Littlewood functions
Green's polynomials
Schur's Q-functions
The Characters of GLn over a Finite Field / IV:
The groups L and M
Conjugacy classes
Induction from parabolic subgroups
The characteristic map
Construction of the characters
The irreducible characters
Appendix: proof of (5.1)
The Hecke Ring of GLn over a Local Field / V:
Local fields
The Hecke ring H(G,K)
Spherical functions
Hecke series and zeta functions for GLn(F)
Hecke series and zeta functions for GSp2n(F)
Symmetric Functions with Two Parameters / VI:
Introduction
The operators Dr/n
The symmetric functions Pl(x;q,t)
Duality
Pieri formulas
The skew functions Pl/m, Ql/m
Integral forms
Another scalar product
Jack's symmetric functions / 10:
Zonal Polynomials / VII:
Gelfand pairs and zonal spherical functions
The Gelfand pair (S2n, Hn)
The Gelfand pair (GLn(R),O(n))
Integral formulas
The complex case
The quaternionic case
Bibliography
Notation
Index
Symmetric Functions / I:
Partitions / 1:
The ring of symmetric functions / 2:
4.

図書

図書
Roger Carter, Graeme Segal, Ian Macdonald
出版情報: Cambridge, UK ; New York : Cambridge University Press, 1995  viii, 190 p. ; 24 cm
シリーズ名: London Mathematical Society student texts ; 32
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5.

図書

図書
I.G. Macdonald
出版情報: Oxford : Clarendon Press , New York : Oxford University Press, 1995  x, 475 p. ; 24 cm
シリーズ名: Oxford mathematical monographs
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目次情報: 続きを見る
Symmetric Functions / I:
Partitions / 1:
The ring of symmetric functions / 2:
Schur functions / 3:
Orthogonality / 4:
Skew Schur functions / 5:
Transition matrices / 6:
The characters of the symmetric groups / 7:
Plethysm / 8:
The Littlewood-Richardson rule / 9:
Polynomial functors and polynomial representations / Appendix A:
Characters of wreath products / Appendix B:
Hall Polynomials / II:
Finite o-modules
The Hall algebra
The LR-sequence of a submodule
The Hall polynomial
Appendix: Another proof of Hall's theorem / A. Zelevinsky
Hall-Littlewood Symmetric Functions / III:
The symmetric polynomials Rl
Hall-Littlewood functions
The Hall algebra again
Skew Hall-Littlewood functions
Green's polynomials
Schur's Q-functions
The Characters of GLn over a Finite Field / IV:
The groups L and M
Conjugacy classes
Induction from parabolic subgroups
The characteristic map
Construction of the characters
The irreducible characters
Appendix: proof of (5.1)
The Hecke Ring of GLn over a Local Field / V:
Local fields
The Hecke ring H(G,K)
Spherical functions
Hecke series and zeta functions for GLn(F)
Hecke series and zeta functions for GSp2n(F)
Symmetric Functions with Two Parameters / VI:
Introduction
The operators Dr/n
The symmetric functions Pl(x;q,t)
Duality
Pieri formulas
The skew functions Pl/m, Ql/m
Integral forms
Another scalar product
Jack's symmetric functions / 10:
Zonal Polynomials / VII:
Gelfand pairs and zonal spherical functions
The Gelfand pair (S2n, Hn)
The Gelfand pair (GLn(R),O(n))
Integral formulas
The complex case
The quaternionic case
Bibliography
Notation
Index
Symmetric Functions / I:
Partitions / 1:
The ring of symmetric functions / 2:
6.

図書

図書
J. Dieudonné ; translated [from the French] by I.G. MacDonald
出版情報: New York ; London : Academic Press, 1976  v. ; 24 cm
シリーズ名: Pure and applied mathematics ; 10
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7.

図書

図書
I.G. Macdonald
出版情報: Montréal : LACIM, Université du Québec à Montréal, c1991  116 p. ; 25 cm
シリーズ名: Publications du laboratoire de combinatoire et d'informatique mathématique ; 6
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8.

図書

図書
I.G. Macdonald
出版情報: New York : W.A. Benjamin, 1968  vii, 113 p. ; 23-24 cm
シリーズ名: Mathematics lecture note series
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9.

図書

図書
I.G. Macdonald
出版情報: Cambridge : Cambridge University Press, 2003  ix, 175 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 157
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目次情報: 続きを見る
Introduction
Affine root systems / 1:
The extended affine Weyl group / 2:
The braid group / 3:
The affine Hecke algebra / 4:
Orthogonal polynomials / 5:
The rank 1 case / 6:
Bibliography
Index
Introduction
Affine root systems / 1:
The extended affine Weyl group / 2:
10.

図書

図書
M.F. Atiyah, I.G. MacDonald
出版情報: Boulder, Colo. : Westview Press, c1969  ix, 128 p. ; 23 cm
シリーズ名: Addison-Wesley series in mathematics
Advanced book program
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