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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, I.; Macdonald, I. G.; Macdonald, Ian; Macdonald, Ian G.; Macdonald, Ian Grant
External Links: MGP · Wikidata · GND
Documents Indexed: 63 Publications since 1958, including 11 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

57 Publications have been cited 6,327 times in 5,291 Documents Cited by Year
Symmetric functions and Hall polynomials. 2nd ed. Zbl 0824.05059
Macdonald, Ian Grant
1995
Symmetric functions and Hall polynomials. Zbl 0487.20007
Macdonald, I. G.
1979
Introduction to commutative algebra. Zbl 0175.03601
Atiyah, Michael F.; Macdonald, I. G.
1969
Symmetric functions and Hall polynomials. 2nd ed. Zbl 0899.05068
Macdonald, I. G.
568
1998
Affine root systems and Dedekind’s \(\eta\)-function. Zbl 0244.17005
Macdonald, I. G.
164
1972
Schubert polynomials. Zbl 0784.05061
Macdonald, I. G.
108
1991
Affine Hecke algebras and orthogonal polynomials. Zbl 1024.33001
Macdonald, I. G.
99
2003
Symmetric products of an algebraic curve. Zbl 0121.38003
Macdonald, I. G.
89
1962
Some conjectures for root systems. Zbl 0498.17006
Macdonald, I. G.
72
1982
Spherical functions on a group of \(p\)-adic type. Zbl 0302.43018
Macdonald, I. G.
72
1971
The Poincaré series of a Coxeter group. Zbl 0286.20062
Macdonald, I. G.
68
1972
Polynomials associated with finite cell-complexes. Zbl 0216.45205
Macdonald, I. G.
60
1971
Orthogonal polynomials associated with root systems. Zbl 1032.33010
Macdonald, Ian G.
55
2000
A new class of symmetric functions. Zbl 0962.05507
Macdonald, I. G.
47
1988
Schur functions: Theme and variations. Zbl 0889.05073
Macdonald, I. G.
46
1992
Secondary representation of modules over a commutative ring. Zbl 0271.13001
Macdonald, I. G.
46
1973
Symmetric functions and orthogonal polynomials. Zbl 0887.05053
Macdonald, I. G.
45
1998
The Poincaré polynomial of a symmetric product. Zbl 0121.39601
Macdonald, I. G.
42
1962
Affine Hecke algebras and orthogonal polynomials. Zbl 0883.33008
Macdonald, I. G.
41
1996
Introduction to commutative algebra. Student economy edition. Zbl 1351.13002
Atiyah, Michael F.; Macdonald, I. G.
40
2016
Symmetric functions and Hall polynomials. With contributions by A. V. Zelevinsky. Reprint of the 1998 2nd edition. Zbl 1332.05002
Macdonald, I. G.
39
2015
Lectures on Lie groups and Lie algebras. Zbl 0832.22001
Carter, Roger; Segal, Graeme; Macdonald, Ian
30
1995
Polynomial functors and wreath products. Zbl 0455.18002
Macdonald, I. G.
30
1980
Duality over complete local rings. Zbl 0108.26401
Macdonald, I. G.
29
1962
An elementary proof of the non-vanishing of certain local cohomology modules. Zbl 0235.14004
Macdonald, I. G.; Sharp, Rodney Y.
28
1972
The volume of a compact Lie group. Zbl 0426.22009
Macdonald, I. G.
27
1980
On the degrees of the irreducible representations of symmetric groups. Zbl 0219.20008
Macdonald, I. G.
27
1971
Orthogonal polynomials associated with root systems. Zbl 0699.42010
Macdonald, I. G.
26
1990
Some irreducible representations of Weyl groups. Zbl 0251.20043
Macdonald, I. G.
25
1972
A formal identity for affine root systems. Zbl 1071.33016
Macdonald, I. G.
21
2003
The volume of a lattice polyhedron. Zbl 0126.18103
Macdonald, I. G.
21
1963
Numbers of conjugacy classes in some finite classical groups. Zbl 0445.20029
Macdonald, I. G.
19
1981
Commuting differential operators and zonal spherical functions. Zbl 0629.43010
Macdonald, I. G.
17
1987
Symmetric functions and Hall polynomials. Transl. from the English. Zbl 0672.20007
Macdonald, I. G.
16
1985
Spherical functions on a \(p\)-adic Chevalley group. Zbl 0273.22012
Macdonald, I. G.
11
1968
Jordan algebras with three generators. Zbl 0094.25003
Macdonald, I. G.
9
1960
On the Adem relations. Zbl 0506.55015
Bullett, S. R.; MacDonald, I. G.
8
1982
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
Some computations for \(m\)-dimensional partitions. Zbl 0157.03103
Atkin, A. O. L.; Bratley, P.; Macdonald, I. G.; McKay, J. K. S.
8
1967
Common tangents to four unit balls in \(\mathbb{R}^3\). Zbl 0989.51013
Macdonald, I. G.; Pach, J.; Theobald, T.
6
2001
An elementary proof of a q-binomial identity. Zbl 0723.05006
Macdonald, I. G.
6
1989
Zeta functions attached to finite general linear groups. Zbl 0417.14016
Macdonald, I. G.
6
1980
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
Affine Lie algebras and modular forms. Zbl 0472.17006
MacDonald, I. G.
3
1981
Spherical functions on groups of p-adic type. Zbl 0338.43016
Macdonald, I. G.
3
1971
Some sign properties of symmetric functions. Zbl 0695.20007
Hunter, D. B.; Macdonald, I. G.
2
1989
The algebra of partitions. Zbl 0564.20006
Macdonald, I. G.
2
1984
Algebraic structure of Lie groups. Zbl 0499.22017
Macdonald, I. G.
2
1979
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 0253.17009
Macdonald, I. G.
2
1972
Some enumerative formulae for algebraic curves. Zbl 0085.36401
Macdonald, I. G.
2
1958
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
Introduction to commutative algebra. Student economy edition. Zbl 1351.13002
Atiyah, Michael F.; Macdonald, I. G.
40
2016
Symmetric functions and Hall polynomials. With contributions by A. V. Zelevinsky. Reprint of the 1998 2nd edition. Zbl 1332.05002
Macdonald, I. G.
39
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.
99
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.
55
2000
Symmetric functions and Hall polynomials. 2nd ed. Zbl 0899.05068
Macdonald, I. G.
568
1998
Symmetric functions and orthogonal polynomials. Zbl 0887.05053
Macdonald, I. G.
45
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.
41
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
30
1995
Schur functions: Theme and variations. Zbl 0889.05073
Macdonald, I. G.
46
1992
Schubert polynomials. Zbl 0784.05061
Macdonald, I. G.
108
1991
Orthogonal polynomials associated with root systems. Zbl 0699.42010
Macdonald, I. G.
26
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.
47
1988
Commuting differential operators and zonal spherical functions. Zbl 0629.43010
Macdonald, I. G.
17
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. Zbl 0672.20007
Macdonald, I. G.
16
1985
The algebra of partitions. Zbl 0564.20006
Macdonald, I. G.
2
1984
Some conjectures for root systems. Zbl 0498.17006
Macdonald, I. G.
72
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.
19
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.
3
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.
27
1980
Zeta functions attached to finite general linear groups. Zbl 0417.14016
Macdonald, I. G.
6
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.
46
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.
164
1972
The Poincaré series of a Coxeter group. Zbl 0286.20062
Macdonald, I. G.
68
1972
An elementary proof of the non-vanishing of certain local cohomology modules. Zbl 0235.14004
Macdonald, I. G.; Sharp, Rodney Y.
28
1972
Some irreducible representations of Weyl groups. Zbl 0251.20043
Macdonald, I. G.
25
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.
72
1971
Polynomials associated with finite cell-complexes. Zbl 0216.45205
Macdonald, I. G.
60
1971
On the degrees of the irreducible representations of symmetric groups. Zbl 0219.20008
Macdonald, I. G.
27
1971
Spherical functions on groups of p-adic type. Zbl 0338.43016
Macdonald, I. G.
3
1971
Harmonic analysis on semi-simple groups. Zbl 0223.43010
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.
11
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.
89
1962
The Poincaré polynomial of a symmetric product. Zbl 0121.39601
Macdonald, I. G.
42
1962
Duality over complete local rings. Zbl 0108.26401
Macdonald, I. G.
29
1962
Jordan algebras with three generators. Zbl 0094.25003
Macdonald, I. G.
9
1960
Some enumerative formulae for algebraic curves. Zbl 0085.36401
Macdonald, I. G.
2
1958
all top 5

Cited by 4,818 Authors

39 Borodin, Alexei
30 Lascoux, Alain
29 Drensky, Vesselin
29 Remmel, Jeffrey B.
28 Stanley, Richard Peter
27 Fulman, Jason E.
27 Lapointe, Luc
26 Thibon, Jean-Yves
25 Bergeron, Nantel
25 Garsia, Adriano M.
24 Jing, Naihuan
23 Morozov, Alexei Yurievich
23 Ol’shanskiĭ, Grigoriĭ Iosifovich
23 van Diejen, Jan Felipe
22 Regev, Amitai
22 Shimozono, Mark
22 Visweswaran, Subramanian
21 Kirillov, Anatol N.
21 Novelli, Jean-Christophe
21 Warnaar, S. Ole
20 Kwon, Jae-Hoon
18 Goulden, Ian P.
18 Ito, Masahiko
18 Kerov, Sergei V.
18 Pak, Igor
18 Stembridge, John R.
17 Bogolyubov, Nikolaĭ Mikhaĭlovich
17 Krattenthaler, Christian Friedrich
17 Lassalle, Michel
17 Loehr, Nicholas A.
17 Mironov, Andrei D.
17 Sharp, Rodney Y.
16 Diaconis, Persi Warren
16 Dobbs, David Earl
16 Jackson, David M.
16 Matsumoto, Sho
16 Merca, Mircea
16 Nikmehr, Mohammad Javad
16 Okun’kov, Andreĭ Yur’evich
16 Reiner, Victor
16 Sam, Steven V.
15 Donkin, Stephen
15 Emsiz, Erdal
15 Forrester, Peter J.
15 Gorin, Vadim
15 Haglund, James
15 Milne, Stephen C.
15 Okada, Soichi
15 Ram, Arun
15 Wang, Weiqiang
15 Weyman, Jerzy M.
14 Berele, Allan
14 Corwin, Ivan
14 Hanlon, Phil
14 Lê Thanh Nhàn
14 Orlov, Aleksandr Yu.
14 Petrov, Leonid
13 Akbari, Saieed
13 Brenti, Francesco
13 Fomin, Sergey Vladimirovich
13 Han, Guo-Niu
13 Harnad, John
13 Heinzer, William J.
13 Morse, Jennifer
13 Van Willigenburg, Stephanie J.
13 Zabrocki, Mike
12 Bergeron, François
12 Etingof, Pavel Il’ich
12 Haiman, Mark D.
12 Manivel, Laurent
12 Mathieu, Pierre
12 Nikandish, Reza
12 Pragacz, Piotr
12 Rains, Eric M.
12 Roichman, Yuval
12 Sergeev, Aleksandr Nikolaevich
12 Vershik, Anatoliĭ Moiseevich
12 Wheeler, Michael
11 Chu, Wenchang
11 Féray, Valentin
11 King, Ronald C.
11 Lenart, Cristian
11 Reutenauer, Christophe
11 Sagan, Bruce Eli
11 Sottile, Frank
11 Stokman, Jasper V.
11 Sundaram, Sheila
11 Van der Jeugt, Joris
11 Zhou, Jian
10 Chen, William Yong-Chuan
10 Desrosiers, Patrick
10 Fontana, Marco
10 Giannelli, Eugenio
10 Halverson, Thomas
10 Hivert, Florent
10 Lam, Thomas F.
10 Lomadze, Vakhtang
10 Mimachi, Katsuhisa
10 Opdam, Eric Marcus
10 Panova, Greta
...and 4,718 more Authors
all top 5

Cited in 398 Serials

464 Journal of Algebra
329 Advances in Mathematics
228 Journal of Combinatorial Theory. Series A
223 Communications in Algebra
175 Transactions of the American Mathematical Society
157 Journal of Pure and Applied Algebra
141 Journal of Algebraic Combinatorics
114 Discrete Mathematics
98 Advances in Applied Mathematics
97 European Journal of Combinatorics
96 Proceedings of the American Mathematical Society
93 Duke Mathematical Journal
86 Communications in Mathematical Physics
85 Linear Algebra and its Applications
78 Journal of Mathematical Physics
78 Journal of High Energy Physics
73 Nuclear Physics. B
66 Inventiones Mathematicae
64 Journal of Algebra and its Applications
63 Mathematische Zeitschrift
62 Journal of Mathematical Sciences (New York)
51 Letters in Mathematical Physics
46 Journal of Symbolic Computation
44 Journal of Number Theory
43 Mathematische Annalen
41 Compositio Mathematica
41 Annals of Combinatorics
38 Functional Analysis and its Applications
36 Israel Journal of Mathematics
35 Selecta Mathematica. New Series
34 Journal of Mathematical Analysis and Applications
34 Journal of the American Mathematical Society
32 Séminaire Lotharingien de Combinatoire
32 Representation Theory
31 Rocky Mountain Journal of Mathematics
31 Journal of Geometry and Physics
31 Transformation Groups
31 Algebras and Representation Theory
28 The Ramanujan Journal
27 Bulletin of the American Mathematical Society. New Series
26 Journal of Functional Analysis
25 Theoretical and Mathematical Physics
25 Annales de l’Institut Fourier
24 Manuscripta Mathematica
24 Rendiconti del Seminario Matematico della Università di Padova
24 International Journal of Mathematics
24 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
24 Algebraic Combinatorics
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 Linear and Multilinear Algebra
20 Journal of Soviet Mathematics
19 The Electronic Journal of Combinatorics
18 Bulletin of the Australian Mathematical Society
18 Journal of Statistical Physics
18 Publications of the Research Institute for Mathematical Sciences, Kyoto University
18 Geometry & Topology
17 Discrete & Computational Geometry
15 Discrete Applied Mathematics
15 Journal für die Reine und Angewandte Mathematik
15 Theoretical Computer Science
15 Journal of Algebraic Geometry
15 Discrete Mathematics, Algorithms and Applications
13 Probability Theory and Related Fields
13 Indagationes Mathematicae. New Series
13 Algebra Colloquium
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Memoirs of the American Mathematical Society
12 Topology and its Applications
12 Algebraic & Geometric Topology
11 Physics Letters. A
11 Physics Letters. B
11 Glasgow Mathematical Journal
11 Journal of Approximation Theory
11 Michigan Mathematical Journal
11 Studies in Applied Mathematics
11 Journal of Commutative Algebra
10 International Journal of Modern Physics A
10 Mathematics of Computation
10 Nagoya Mathematical Journal
10 Acta Applicandae Mathematicae
10 Constructive Approximation
10 Finite Fields and their Applications
9 Beiträge zur Algebra und Geometrie
9 Acta Mathematica
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Journal of Computational and Applied Mathematics
9 Journal of Multivariate Analysis
9 Journal of Statistical Planning and Inference
9 Proceedings of the Japan Academy. Series A
9 Tokyo Journal of Mathematics
9 Systems & Control Letters
9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
9 St. Petersburg Mathematical Journal
9 Annals of Mathematics. Second Series
9 Journal of the European Mathematical Society (JEMS)
8 Mathematical Notes
...and 298 more Serials
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Cited in 60 Fields

1,831 Combinatorics (05-XX)
1,091 Group theory and generalizations (20-XX)
903 Commutative algebra (13-XX)
896 Algebraic geometry (14-XX)
663 Nonassociative rings and algebras (17-XX)
580 Associative rings and algebras (16-XX)
511 Number theory (11-XX)
487 Special functions (33-XX)
419 Quantum theory (81-XX)
297 Linear and multilinear algebra; matrix theory (15-XX)
288 Topological groups, Lie groups (22-XX)
246 Probability theory and stochastic processes (60-XX)
169 Statistical mechanics, structure of matter (82-XX)
162 Manifolds and cell complexes (57-XX)
140 Category theory; homological algebra (18-XX)
126 Dynamical systems and ergodic theory (37-XX)
121 Algebraic topology (55-XX)
118 Order, lattices, ordered algebraic structures (06-XX)
118 Convex and discrete geometry (52-XX)
108 Several complex variables and analytic spaces (32-XX)
91 Computer science (68-XX)
88 Abstract harmonic analysis (43-XX)
88 Differential geometry (53-XX)
78 Field theory and polynomials (12-XX)
78 Global analysis, analysis on manifolds (58-XX)
68 Partial differential equations (35-XX)
63 Operator theory (47-XX)
62 \(K\)-theory (19-XX)
58 Numerical analysis (65-XX)
56 Functional analysis (46-XX)
46 Systems theory; control (93-XX)
42 Difference and functional equations (39-XX)
41 Ordinary differential equations (34-XX)
40 Geometry (51-XX)
40 General topology (54-XX)
40 Information and communication theory, circuits (94-XX)
39 Functions of a complex variable (30-XX)
39 Relativity and gravitational theory (83-XX)
37 Mathematical logic and foundations (03-XX)
37 Harmonic analysis on Euclidean spaces (42-XX)
33 Statistics (62-XX)
30 Approximations and expansions (41-XX)
18 Real functions (26-XX)
17 Measure and integration (28-XX)
15 Integral transforms, operational calculus (44-XX)
13 Operations research, mathematical programming (90-XX)
12 Mechanics of particles and systems (70-XX)
11 Biology and other natural sciences (92-XX)
10 History and biography (01-XX)
7 General and overarching topics; collections (00-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 General algebraic systems (08-XX)
5 Sequences, series, summability (40-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Mechanics of deformable solids (74-XX)
2 Integral equations (45-XX)
2 Fluid mechanics (76-XX)
2 Optics, electromagnetic theory (78-XX)
1 Potential theory (31-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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