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Macdonald, Ian Grant

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Author ID: macdonald.ian-grant Recent zbMATH articles by "Macdonald, Ian Grant"
Published as: Macdonald, I. G.; Macdonald, Ian G.; MacDonald, I. G.; Macdonald, Ian Grant; Macdonald, Ian
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 63 Publications since 1958, including 11 Books
Biographic References: 1 Publication
Co-Authors: 11 Co-Authors with 9 Joint Publications
488 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 6,087 times in 5,645 Documents Cited by Year
Introduction to commutative algebra. Zbl 0175.03601
Atiyah, Michael F.; Macdonald, I. G.
1969
Symmetric functions and Hall polynomials. Zbl 0487.20007
Macdonald, I. G.
1979
Symmetric functions and Hall polynomials. 2nd ed. Zbl 0824.05059
Macdonald, Ian Grant
1995
Symmetric functions and Hall polynomials. 2nd ed. Zbl 0899.05068
Macdonald, I. G.
603
1998
Affine root systems and Dedekind’s \(\eta\)-function. Zbl 0244.17005
Macdonald, I. G.
174
1972
Affine Hecke algebras and orthogonal polynomials. Zbl 1024.33001
Macdonald, I. G.
109
2003
Schubert polynomials. Zbl 0784.05061
Macdonald, I. G.
103
1991
Symmetric products of an algebraic curve. Zbl 0121.38003
Macdonald, I. G.
94
1962
Some conjectures for root systems. Zbl 0498.17006
Macdonald, I. G.
75
1982
The Poincaré series of a Coxeter group. Zbl 0286.20062
Macdonald, I. G.
72
1972
Spherical functions on a group of \(p\)-adic type. Zbl 0302.43018
Macdonald, I. G.
71
1971
Polynomials associated with finite cell-complexes. Zbl 0216.45205
Macdonald, I. G.
64
1971
Orthogonal polynomials associated with root systems. Zbl 1032.33010
Macdonald, Ian G.
61
2000
Symmetric functions and Hall polynomials. With contributions by A. V. Zelevinsky. Reprint of the 1998 2nd edition. Zbl 1332.05002
Macdonald, I. G.
55
2015
Schur functions: Theme and variations. Zbl 0889.05073
Macdonald, I. G.
51
1992
Introduction to commutative algebra. Student economy edition. Zbl 1351.13002
Atiyah, Michael F.; Macdonald, I. G.
51
2016
Secondary representation of modules over a commutative ring. Zbl 0271.13001
Macdonald, I. G.
50
1973
Affine Hecke algebras and orthogonal polynomials. Zbl 0883.33008
Macdonald, I. G.
49
1996
The Poincaré polynomial of a symmetric product. Zbl 0121.39601
Macdonald, I. G.
48
1962
Symmetric functions and orthogonal polynomials. Zbl 0887.05053
Macdonald, I. G.
46
1998
A new class of symmetric functions. Zbl 0962.05507
Macdonald, I. G.
45
1988
Duality over complete local rings. Zbl 0108.26401
Macdonald, I. G.
34
1962
An elementary proof of the non-vanishing of certain local cohomology modules. Zbl 0235.14004
Macdonald, I. G.; Sharp, Rodney Y.
31
1972
Polynomial functors and wreath products. Zbl 0455.18002
Macdonald, I. G.
30
1980
The volume of a compact Lie group. Zbl 0426.22009
Macdonald, I. G.
30
1980
Lectures on Lie groups and Lie algebras. Zbl 0832.22001
Carter, Roger; Segal, Graeme; Macdonald, Ian
29
1995
On the degrees of the irreducible representations of symmetric groups. Zbl 0219.20008
Macdonald, I. G.
28
1971
Some irreducible representations of Weyl groups. Zbl 0251.20043
Macdonald, I. G.
27
1972
Orthogonal polynomials associated with root systems. Zbl 0699.42010
Macdonald, I. G.
24
1990
The volume of a lattice polyhedron. Zbl 0126.18103
Macdonald, I. G.
21
1963
A formal identity for affine root systems. Zbl 1071.33016
Macdonald, I. G.
21
2003
Numbers of conjugacy classes in some finite classical groups. Zbl 0445.20029
Macdonald, I. G.
20
1981
Commuting differential operators and zonal spherical functions. Zbl 0629.43010
Macdonald, I. G.
15
1987
Symmetric functions and Hall polynomials. Transl. from the English. (Симметрические функции и многочлены Холла.) Zbl 0672.20007
Macdonald, I. G.
13
1985
Spherical functions on a \(p\)-adic Chevalley group. Zbl 0273.22012
Macdonald, I. G.
12
1968
Jordan algebras with three generators. Zbl 0094.25003
Macdonald, I. G.
10
1960
On the Adem relations. Zbl 0506.55015
Bullett, S. R.; MacDonald, I. G.
8
1982
Some computations for \(m\)-dimensional partitions. Zbl 0157.03103
Atkin, A. O. L.; Bratley, P.; Macdonald, I. G.; McKay, J. K. S.
8
1967
Introduction to commutative algebra. (Vvedenie v kommutativnuju algebru.) Übersetzung aus dem Englischen von Ju. I. Manin. Zbl 0238.13001
Atiyah, Michael F.; Macdonald, I. G.
8
1972
Zeta functions attached to finite general linear groups. Zbl 0417.14016
Macdonald, I. G.
7
1980
An elementary proof of a q-binomial identity. Zbl 0723.05006
Macdonald, I. G.
6
1989
Common tangents to four unit balls in \(\mathbb{R}^3\). Zbl 0989.51013
Macdonald, I. G.; Pach, J.; Theobald, T.
6
2001
Constant term identities, orthogonal polynomials and affine Hecke algebras. Zbl 0908.33010
Macdonald, Ian G.
4
1998
Regular simplexes with integral vertices. Zbl 0628.10017
Macdonald, I. G.
4
1987
Kac-Moody-algebras. Zbl 0582.17010
Macdonald, I. G.
3
1986
Some conjectures for root systems and finite Coxeter groups. Zbl 0515.17004
Macdonald, I. G.
3
1981
Spherical functions on a group of \(p\)-adic type. Zbl 0314.43018
Macdonald, I. G.
2
1973
Affine Lie algebras and modular forms. Zbl 0472.17006
MacDonald, I. G.
2
1981
Algebraic structure of Lie groups. Zbl 0499.22017
Macdonald, I. G.
2
1979
Some enumerative formulae for algebraic curves. Zbl 0085.36401
Macdonald, I. G.
2
1958
Some sign properties of symmetric functions. Zbl 0695.20007
Hunter, D. B.; Macdonald, I. G.
2
1989
Affine root systems and Dedekind’s \(\eta\)-function. Zbl 0253.17009
Macdonald, I. G.
2
1972
The algebra of partitions (reprint). Zbl 1134.05102
Macdonald, I. G.
1
2006
Lie groups and combinatorics. Zbl 0488.22042
Macdonald, I. G.
1
1982
Harmonic analysis on semi-simple groups. Zbl 0223.43010
Macdonald, I. G.
1
1971
Spherical functions on groups of p-adic type. Zbl 0338.43016
Macdonald, I. G.
1
1971
Introduction to commutative algebra. Student economy edition. Zbl 1351.13002
Atiyah, Michael F.; Macdonald, I. G.
51
2016
Symmetric functions and Hall polynomials. With contributions by A. V. Zelevinsky. Reprint of the 1998 2nd edition. Zbl 1332.05002
Macdonald, I. G.
55
2015
The algebra of partitions (reprint). Zbl 1134.05102
Macdonald, I. G.
1
2006
Affine Hecke algebras and orthogonal polynomials. Zbl 1024.33001
Macdonald, I. G.
109
2003
A formal identity for affine root systems. Zbl 1071.33016
Macdonald, I. G.
21
2003
Common tangents to four unit balls in \(\mathbb{R}^3\). Zbl 0989.51013
Macdonald, I. G.; Pach, J.; Theobald, T.
6
2001
Orthogonal polynomials associated with root systems. Zbl 1032.33010
Macdonald, Ian G.
61
2000
Symmetric functions and Hall polynomials. 2nd ed. Zbl 0899.05068
Macdonald, I. G.
603
1998
Symmetric functions and orthogonal polynomials. Zbl 0887.05053
Macdonald, I. G.
46
1998
Constant term identities, orthogonal polynomials and affine Hecke algebras. Zbl 0908.33010
Macdonald, Ian G.
4
1998
Affine Hecke algebras and orthogonal polynomials. Zbl 0883.33008
Macdonald, I. G.
49
1996
Symmetric functions and Hall polynomials. 2nd ed. Zbl 0824.05059
Macdonald, Ian Grant
1995
Lectures on Lie groups and Lie algebras. Zbl 0832.22001
Carter, Roger; Segal, Graeme; Macdonald, Ian
29
1995
Schur functions: Theme and variations. Zbl 0889.05073
Macdonald, I. G.
51
1992
Schubert polynomials. Zbl 0784.05061
Macdonald, I. G.
103
1991
Orthogonal polynomials associated with root systems. Zbl 0699.42010
Macdonald, I. G.
24
1990
An elementary proof of a q-binomial identity. Zbl 0723.05006
Macdonald, I. G.
6
1989
Some sign properties of symmetric functions. Zbl 0695.20007
Hunter, D. B.; Macdonald, I. G.
2
1989
A new class of symmetric functions. Zbl 0962.05507
Macdonald, I. G.
45
1988
Commuting differential operators and zonal spherical functions. Zbl 0629.43010
Macdonald, I. G.
15
1987
Regular simplexes with integral vertices. Zbl 0628.10017
Macdonald, I. G.
4
1987
Kac-Moody-algebras. Zbl 0582.17010
Macdonald, I. G.
3
1986
Symmetric functions and Hall polynomials. Transl. from the English. (Симметрические функции и многочлены Холла.) Zbl 0672.20007
Macdonald, I. G.
13
1985
Some conjectures for root systems. Zbl 0498.17006
Macdonald, I. G.
75
1982
On the Adem relations. Zbl 0506.55015
Bullett, S. R.; MacDonald, I. G.
8
1982
Lie groups and combinatorics. Zbl 0488.22042
Macdonald, I. G.
1
1982
Numbers of conjugacy classes in some finite classical groups. Zbl 0445.20029
Macdonald, I. G.
20
1981
Some conjectures for root systems and finite Coxeter groups. Zbl 0515.17004
Macdonald, I. G.
3
1981
Affine Lie algebras and modular forms. Zbl 0472.17006
MacDonald, I. G.
2
1981
Polynomial functors and wreath products. Zbl 0455.18002
Macdonald, I. G.
30
1980
The volume of a compact Lie group. Zbl 0426.22009
Macdonald, I. G.
30
1980
Zeta functions attached to finite general linear groups. Zbl 0417.14016
Macdonald, I. G.
7
1980
Symmetric functions and Hall polynomials. Zbl 0487.20007
Macdonald, I. G.
1979
Algebraic structure of Lie groups. Zbl 0499.22017
Macdonald, I. G.
2
1979
Secondary representation of modules over a commutative ring. Zbl 0271.13001
Macdonald, I. G.
50
1973
Spherical functions on a group of \(p\)-adic type. Zbl 0314.43018
Macdonald, I. G.
2
1973
Affine root systems and Dedekind’s \(\eta\)-function. Zbl 0244.17005
Macdonald, I. G.
174
1972
The Poincaré series of a Coxeter group. Zbl 0286.20062
Macdonald, I. G.
72
1972
An elementary proof of the non-vanishing of certain local cohomology modules. Zbl 0235.14004
Macdonald, I. G.; Sharp, Rodney Y.
31
1972
Some irreducible representations of Weyl groups. Zbl 0251.20043
Macdonald, I. G.
27
1972
Introduction to commutative algebra. (Vvedenie v kommutativnuju algebru.) Übersetzung aus dem Englischen von Ju. I. Manin. Zbl 0238.13001
Atiyah, Michael F.; Macdonald, I. G.
8
1972
Affine root systems and Dedekind’s \(\eta\)-function. Zbl 0253.17009
Macdonald, I. G.
2
1972
Spherical functions on a group of \(p\)-adic type. Zbl 0302.43018
Macdonald, I. G.
71
1971
Polynomials associated with finite cell-complexes. Zbl 0216.45205
Macdonald, I. G.
64
1971
On the degrees of the irreducible representations of symmetric groups. Zbl 0219.20008
Macdonald, I. G.
28
1971
Harmonic analysis on semi-simple groups. Zbl 0223.43010
Macdonald, I. G.
1
1971
Spherical functions on groups of p-adic type. Zbl 0338.43016
Macdonald, I. G.
1
1971
Introduction to commutative algebra. Zbl 0175.03601
Atiyah, Michael F.; Macdonald, I. G.
1969
Spherical functions on a \(p\)-adic Chevalley group. Zbl 0273.22012
Macdonald, I. G.
12
1968
Some computations for \(m\)-dimensional partitions. Zbl 0157.03103
Atkin, A. O. L.; Bratley, P.; Macdonald, I. G.; McKay, J. K. S.
8
1967
The volume of a lattice polyhedron. Zbl 0126.18103
Macdonald, I. G.
21
1963
Symmetric products of an algebraic curve. Zbl 0121.38003
Macdonald, I. G.
94
1962
The Poincaré polynomial of a symmetric product. Zbl 0121.39601
Macdonald, I. G.
48
1962
Duality over complete local rings. Zbl 0108.26401
Macdonald, I. G.
34
1962
Jordan algebras with three generators. Zbl 0094.25003
Macdonald, I. G.
10
1960
Some enumerative formulae for algebraic curves. Zbl 0085.36401
Macdonald, I. G.
2
1958
all top 5

Cited by 5,056 Authors

39 Borodin, Alexei
30 Drensky, Vesselin
29 Jing, Naihuan
29 Lascoux, Alain
28 Remmel, Jeffrey B.
27 Fulman, Jason E.
27 Lapointe, Luc
27 Stanley, Richard Peter
27 van Diejen, Jan Felipe
26 Ol’shanskiĭ, Grigoriĭ Iosifovich
26 Thibon, Jean-Yves
25 Garsia, Adriano M.
24 Bergeron, Nantel
24 Visweswaran, Subramanian
24 Warnaar, S. Ole
22 Morozov, Alexei Yurievich
22 Nikandish, Reza
21 Kirillov, Anatol N.
21 Nikmehr, Mohammad Javad
21 Novelli, Jean-Christophe
21 Regev, Amitai
20 Pak, Igor
20 Shimozono, Mark
19 Ito, Masahiko
18 Bogolyubov, Nikolaĭ Mikhaĭlovich
18 Goulden, Ian P.
18 Kerov, Sergei V.
18 Kwon, Jae-Hoon
18 Orlov, Aleksandr Yu.
18 Petrov, Leonid
18 Stembridge, John R.
17 Emsiz, Erdal
17 Krattenthaler, Christian Friedrich
17 Lassalle, Michel
17 Loehr, Nicholas A.
17 Merca, Mircea
17 Mironov, Andrei D.
17 Sharp, Rodney Y.
16 Diaconis, Persi Warren
16 Dobbs, David Earl
16 Donkin, Stephen
16 Gorin, Vadim
16 Haglund, James
16 Jackson, David M.
16 Okun’kov, Andreĭ Yur’evich
16 Sam, Steven V.
15 Harnad, John
15 Lê Thanh Nhàn
15 Matsumoto, Sho
15 Milne, Stephen C.
15 Rains, Eric M.
15 Ram, Arun
15 Reiner, Victor
15 Weyman, Jerzy M.
14 Berele, Allan
14 Corwin, Ivan Z.
14 Forrester, Peter J.
14 Hanlon, Phil
14 Okada, Soichi
14 Wang, Weiqiang
13 Akbari, Saieed
13 Bergeron, François
13 Fomin, Sergey Vladimirovich
13 Han, Guo-Niu
13 Heinzer, William J.
13 King, Ronald C.
13 Morse, Jennifer
13 Shiraishi, Jun’ichi
13 Stokman, Jasper V.
13 Zabrocki, Mike
12 Assaf, Sami H.
12 Brenti, Francesco
12 Etingof, Pavel Il’ich
12 Haiman, Mark D.
12 Manivel, Laurent
12 Mathieu, Pierre
12 Panova, Greta
12 Sundaram, Sheila
12 Van der Jeugt, Joris
12 Van Willigenburg, Stephanie J.
12 Vershik, Anatoliĭ Moiseevich
12 Wheeler, Michael
11 Ansari-Toroghy, Habibollah
11 Féray, Valentin
11 Noumi, Masatoshi
11 Orellana, Rosa C.
11 Pragacz, Piotr
11 Sagan, Bruce Eli
11 Selvakumar, Krishnan
11 Sergeev, Aleksandr Nikolaevich
11 Sottile, Frank
10 Alexandersson, Per
10 Biswas, Indranil
10 Chu, Wenchang
10 Corteel, Sylvie
10 Desrosiers, Patrick
10 Giannelli, Eugenio
10 Halverson, Thomas
10 Hivert, Florent
10 Lomadze, Vakhtang
...and 4,956 more Authors
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Cited in 436 Serials

472 Journal of Algebra
334 Advances in Mathematics
237 Journal of Combinatorial Theory. Series A
228 Communications in Algebra
178 Transactions of the American Mathematical Society
160 Journal of Pure and Applied Algebra
138 Journal of Algebraic Combinatorics
111 Discrete Mathematics
103 Proceedings of the American Mathematical Society
102 Advances in Applied Mathematics
98 Communications in Mathematical Physics
93 Duke Mathematical Journal
93 European Journal of Combinatorics
83 Linear Algebra and its Applications
82 Journal of Mathematical Physics
79 Nuclear Physics. B
79 Journal of Algebra and its Applications
73 Journal of High Energy Physics
67 Inventiones Mathematicae
66 Mathematische Zeitschrift
63 Journal of Mathematical Sciences (New York)
56 Letters in Mathematical Physics
51 The Electronic Journal of Combinatorics
47 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
46 Mathematische Annalen
44 Compositio Mathematica
44 Journal of Number Theory
43 Journal of Symbolic Computation
43 Selecta Mathematica. New Series
43 Annals of Combinatorics
39 Functional Analysis and its Applications
36 Israel Journal of Mathematics
34 Journal of the American Mathematical Society
34 Transformation Groups
33 Journal of Mathematical Analysis and Applications
32 Journal of Geometry and Physics
32 Séminaire Lotharingien de Combinatoire
32 Representation Theory
31 Rocky Mountain Journal of Mathematics
31 Algebras and Representation Theory
31 Algebraic Combinatorics
29 Theoretical and Mathematical Physics
29 Journal of Functional Analysis
29 The Ramanujan Journal
28 Bulletin of the American Mathematical Society. New Series
26 Annales de l’Institut Fourier
25 Manuscripta Mathematica
25 International Journal of Mathematics
24 Rendiconti del Seminario Matematico della Università di Padova
23 Mathematical Proceedings of the Cambridge Philosophical Society
22 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
22 Archiv der Mathematik
21 International Journal of Algebra and Computation
21 International Journal of Number Theory
20 Bulletin of the Australian Mathematical Society
20 Journal of Statistical Physics
20 Linear and Multilinear Algebra
20 Journal of Soviet Mathematics
18 Publications of the Research Institute for Mathematical Sciences, Kyoto University
18 Discrete & Computational Geometry
18 Geometry & Topology
17 Physics Letters. B
16 Discrete Applied Mathematics
16 Journal für die Reine und Angewandte Mathematik
16 Journal of Algebraic Geometry
16 Discrete Mathematics, Algorithms and Applications
15 Memoirs of the American Mathematical Society
15 Theoretical Computer Science
14 Beiträge zur Algebra und Geometrie
14 Probability Theory and Related Fields
14 Indagationes Mathematicae. New Series
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Algebra Colloquium
13 Journal of Commutative Algebra
12 Topology and its Applications
12 Journal of the European Mathematical Society (JEMS)
12 Algebraic & Geometric Topology
11 Glasgow Mathematical Journal
11 Journal of Approximation Theory
11 Michigan Mathematical Journal
11 Studies in Applied Mathematics
11 Constructive Approximation
10 International Journal of Modern Physics A
10 Physics Letters. A
10 Mathematics of Computation
10 Journal of Computational and Applied Mathematics
10 Nagoya Mathematical Journal
10 Acta Applicandae Mathematicae
10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
10 Finite Fields and their Applications
10 Journal of Algebraic Systems
9 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
9 Acta Mathematica
9 Journal of Statistical Planning and Inference
9 Proceedings of the Japan Academy. Series A
9 Tokyo Journal of Mathematics
9 Graphs and Combinatorics
9 St. Petersburg Mathematical Journal
9 Annals of Mathematics. Second Series
9 AKCE International Journal of Graphs and Combinatorics
...and 336 more Serials
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Cited in 60 Fields

1,989 Combinatorics (05-XX)
1,145 Group theory and generalizations (20-XX)
1,007 Commutative algebra (13-XX)
961 Algebraic geometry (14-XX)
707 Nonassociative rings and algebras (17-XX)
606 Associative rings and algebras (16-XX)
555 Number theory (11-XX)
530 Special functions (33-XX)
460 Quantum theory (81-XX)
312 Linear and multilinear algebra; matrix theory (15-XX)
302 Topological groups, Lie groups (22-XX)
270 Probability theory and stochastic processes (60-XX)
185 Statistical mechanics, structure of matter (82-XX)
165 Manifolds and cell complexes (57-XX)
146 Category theory; homological algebra (18-XX)
138 Dynamical systems and ergodic theory (37-XX)
133 Order, lattices, ordered algebraic structures (06-XX)
125 Convex and discrete geometry (52-XX)
124 Algebraic topology (55-XX)
116 Several complex variables and analytic spaces (32-XX)
100 Differential geometry (53-XX)
92 Abstract harmonic analysis (43-XX)
89 Computer science (68-XX)
85 Field theory and polynomials (12-XX)
84 Global analysis, analysis on manifolds (58-XX)
74 Partial differential equations (35-XX)
69 Operator theory (47-XX)
68 \(K\)-theory (19-XX)
68 Numerical analysis (65-XX)
58 Functional analysis (46-XX)
52 General topology (54-XX)
47 Difference and functional equations (39-XX)
47 Relativity and gravitational theory (83-XX)
43 Functions of a complex variable (30-XX)
43 Geometry (51-XX)
43 Information and communication theory, circuits (94-XX)
42 Mathematical logic and foundations (03-XX)
40 Harmonic analysis on Euclidean spaces (42-XX)
40 Systems theory; control (93-XX)
39 Ordinary differential equations (34-XX)
38 Statistics (62-XX)
33 Approximations and expansions (41-XX)
22 Real functions (26-XX)
20 Measure and integration (28-XX)
18 Integral transforms, operational calculus (44-XX)
14 Mechanics of particles and systems (70-XX)
14 Operations research, mathematical programming (90-XX)
12 Biology and other natural sciences (92-XX)
11 History and biography (01-XX)
8 General algebraic systems (08-XX)
7 General and overarching topics; collections (00-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Sequences, series, summability (40-XX)
4 Potential theory (31-XX)
4 Mechanics of deformable solids (74-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 Integral equations (45-XX)
2 Fluid mechanics (76-XX)
2 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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