×

zbMATH — the first resource for mathematics

Macdonald, Ian Grant

Compute Distance To:
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; MacDonald, Ian
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 Open

56 Publications have been cited 5,704 times in 5,290 Documents Cited by Year
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 0824.05059
Macdonald, Ian Grant
1995
Symmetric functions and Hall polynomials. 2nd ed. Zbl 0899.05068
Macdonald, I. G.
533
1998
Affine root systems and Dedekind’s \(\eta\)-function. Zbl 0244.17005
Macdonald, I. G.
167
1972
Schubert polynomials. Zbl 0784.05061
Macdonald, I. G.
102
1991
Affine Hecke algebras and orthogonal polynomials. Zbl 1024.33001
Macdonald, I. G.
101
2003
Symmetric products of an algebraic curve. Zbl 0121.38003
Macdonald, I. G.
92
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.
69
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.
53
2000
Schur functions: Theme and variations. Zbl 0889.05073
Macdonald, I. G.
46
1992
Symmetric functions and Hall polynomials. With contributions by A. V. Zelevinsky. Reprint of the 1998 2nd edition. Zbl 1332.05002
Macdonald, I. G.
46
2015
Secondary representation of modules over a commutative ring. Zbl 0271.13001
Macdonald, I. G.
46
1973
The Poincaré polynomial of a symmetric product. Zbl 0121.39601
Macdonald, I. G.
45
1962
Introduction to commutative algebra. Student economy edition. Zbl 1351.13002
Atiyah, Michael F.; Macdonald, I. G.
44
2016
Affine Hecke algebras and orthogonal polynomials. Zbl 0883.33008
Macdonald, I. G.
44
1996
Symmetric functions and orthogonal polynomials. Zbl 0887.05053
Macdonald, I. G.
43
1998
A new class of symmetric functions. Zbl 0962.05507
Macdonald, I. G.
43
1988
Polynomial functors and wreath products. Zbl 0455.18002
Macdonald, I. G.
30
1980
Duality over complete local rings. Zbl 0108.26401
Macdonald, I. G.
30
1962
An elementary proof of the non-vanishing of certain local cohomology modules. Zbl 0235.14004
Macdonald, I. G.; Sharp, Rodney Y.
29
1972
The volume of a compact Lie group. Zbl 0426.22009
Macdonald, I. G.
28
1980
On the degrees of the irreducible representations of symmetric groups. Zbl 0219.20008
Macdonald, I. G.
27
1971
Lectures on Lie groups and Lie algebras. Zbl 0832.22001
Carter, Roger; Segal, Graeme; Macdonald, Ian
27
1995
Some irreducible representations of Weyl groups. Zbl 0251.20043
Macdonald, I. G.
25
1972
Orthogonal polynomials associated with root systems. Zbl 0699.42010
Macdonald, I. G.
24
1990
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
Symmetric functions and Hall polynomials. Transl. from the English. (Симметрические функции и многочлены Холла.) Zbl 0672.20007
Macdonald, I. G.
13
1985
Commuting differential operators and zonal spherical functions. Zbl 0629.43010
Macdonald, I. G.
13
1987
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.
10
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
Zeta functions attached to finite general linear groups. Zbl 0417.14016
Macdonald, I. G.
6
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
Some conjectures for root systems and finite Coxeter groups. Zbl 0515.17004
Macdonald, I. G.
3
1981
Kac-Moody-algebras. Zbl 0582.17010
Macdonald, I. G.
3
1986
Algebraic structure of Lie groups. Zbl 0499.22017
Macdonald, I. G.
2
1979
Some sign properties of symmetric functions. Zbl 0695.20007
Hunter, D. B.; Macdonald, I. G.
2
1989
Some enumerative formulae for algebraic curves. Zbl 0085.36401
Macdonald, I. G.
2
1958
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 0314.43018
Macdonald, I. G.
2
1973
Affine Lie algebras and modular forms. Zbl 0472.17006
MacDonald, I. G.
1
1981
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
The algebra of partitions (reprint). Zbl 1134.05102
Macdonald, I. G.
1
2006
Introduction to commutative algebra. Student economy edition. Zbl 1351.13002
Atiyah, Michael F.; Macdonald, I. G.
44
2016
Symmetric functions and Hall polynomials. With contributions by A. V. Zelevinsky. Reprint of the 1998 2nd edition. Zbl 1332.05002
Macdonald, I. G.
46
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.
101
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.
53
2000
Symmetric functions and Hall polynomials. 2nd ed. Zbl 0899.05068
Macdonald, I. G.
533
1998
Symmetric functions and orthogonal polynomials. Zbl 0887.05053
Macdonald, I. G.
43
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.
44
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
27
1995
Schur functions: Theme and variations. Zbl 0889.05073
Macdonald, I. G.
46
1992
Schubert polynomials. Zbl 0784.05061
Macdonald, I. G.
102
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.
43
1988
Commuting differential operators and zonal spherical functions. Zbl 0629.43010
Macdonald, I. G.
13
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.
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.
1
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.
28
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.
167
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.
29
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.
69
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
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.
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.
92
1962
The Poincaré polynomial of a symmetric product. Zbl 0121.39601
Macdonald, I. G.
45
1962
Duality over complete local rings. Zbl 0108.26401
Macdonald, I. G.
30
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 4,739 Authors

39 Borodin, Alexei
30 Drensky, Vesselin
29 Lascoux, Alain
28 Remmel, Jeffrey B.
27 Fulman, Jason E.
27 Lapointe, Luc
27 Stanley, Richard Peter
26 Thibon, Jean-Yves
25 Garsia, Adriano M.
25 Jing, Naihuan
25 Ol’shanskiĭ, Grigoriĭ Iosifovich
24 van Diejen, Jan Felipe
23 Bergeron, Nantel
22 Visweswaran, Subramanian
22 Warnaar, S. Ole
21 Kirillov, Anatol N.
21 Morozov, Alexei Yurievich
21 Novelli, Jean-Christophe
21 Regev, Amitai
20 Shimozono, Mark
19 Pak, Igor
18 Goulden, Ian P.
18 Ito, Masahiko
18 Kerov, Sergei V.
18 Kwon, Jae-Hoon
18 Stembridge, John R.
17 Bogolyubov, Nikolaĭ Mikhaĭlovich
17 Krattenthaler, Christian Friedrich
17 Lassalle, Michel
17 Loehr, Nicholas A.
17 Nikmehr, Mohammad Javad
17 Sharp, Rodney Y.
16 Diaconis, Persi Warren
16 Dobbs, David Earl
16 Jackson, David M.
16 Merca, Mircea
16 Sam, Steven V.
15 Donkin, Stephen
15 Emsiz, Erdal
15 Gorin, Vadim
15 Haglund, James
15 Matsumoto, Sho
15 Milne, Stephen C.
15 Nikandish, Reza
15 Petrov, Leonid
15 Ram, Arun
15 Reiner, Victor
15 Weyman, Jerzy M.
14 Berele, Allan
14 Corwin, Ivan
14 Forrester, Peter J.
14 Hanlon, Phil
14 Lê Thanh Nhàn
14 Mironov, Andrei D.
14 Okada, Soichi
14 Okun’kov, Andreĭ Yur’evich
14 Wang, Weiqiang
13 Akbari, Saieed
13 Fomin, Sergey Vladimirovich
13 Han, Guo-Niu
13 Harnad, John
13 Heinzer, William J.
13 Morse, Jennifer
13 Orlov, Aleksandr Yu.
13 Rains, Eric M.
12 Bergeron, François
12 Brenti, Francesco
12 Etingof, Pavel Il’ich
12 Haiman, Mark D.
12 King, Ronald C.
12 Manivel, Laurent
12 Mathieu, Pierre
12 Stokman, Jasper V.
12 Vershik, Anatoliĭ Moiseevich
12 Wheeler, Michael
12 Zabrocki, Mike
11 Assaf, Sami H.
11 Féray, Valentin
11 Panova, Greta
11 Pragacz, Piotr
11 Sagan, Bruce Eli
11 Sergeev, Aleksandr Nikolaevich
11 Sottile, Frank
11 Sundaram, Sheila
11 Van der Jeugt, Joris
10 Biswas, Indranil
10 Chu, Wenchang
10 Desrosiers, Patrick
10 Giannelli, Eugenio
10 Halverson, Thomas
10 Hivert, Florent
10 Lomadze, Vakhtang
10 Mimachi, Katsuhisa
10 Opdam, Eric Marcus
10 Reutenauer, Christophe
10 Roichman, Yuval
10 Shoji, Toshiaki
10 Veselov, Alexander Petrovich
10 Zeilberger, Doron
10 Zhou, Jian
...and 4,639 more Authors
all top 5

Cited in 405 Serials

454 Journal of Algebra
322 Advances in Mathematics
230 Journal of Combinatorial Theory. Series A
223 Communications in Algebra
172 Transactions of the American Mathematical Society
155 Journal of Pure and Applied Algebra
131 Journal of Algebraic Combinatorics
110 Discrete Mathematics
100 Advances in Applied Mathematics
99 Proceedings of the American Mathematical Society
93 Duke Mathematical Journal
92 Communications in Mathematical Physics
91 European Journal of Combinatorics
83 Linear Algebra and its Applications
80 Journal of Mathematical Physics
71 Nuclear Physics. B
68 Journal of Algebra and its Applications
66 Inventiones Mathematicae
66 Journal of High Energy Physics
64 Mathematische Zeitschrift
62 Journal of Mathematical Sciences (New York)
52 Letters in Mathematical Physics
44 Mathematische Annalen
42 Compositio Mathematica
42 Journal of Number Theory
42 Journal of Symbolic Computation
42 Annals of Combinatorics
39 Functional Analysis and its Applications
37 Selecta Mathematica. New Series
36 Israel Journal of Mathematics
34 Journal of the American Mathematical Society
32 Journal of Mathematical Analysis and Applications
32 Journal of Geometry and Physics
32 Séminaire Lotharingien de Combinatoire
32 Transformation Groups
31 Rocky Mountain Journal of Mathematics
31 Representation Theory
31 Algebras and Representation Theory
29 The Ramanujan Journal
28 Bulletin of the American Mathematical Society. New Series
27 Algebraic Combinatorics
26 Theoretical and Mathematical Physics
26 Annales de l’Institut Fourier
26 Journal of Functional Analysis
25 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
24 Manuscripta Mathematica
24 Rendiconti del Seminario Matematico della Università di Padova
24 International Journal of Mathematics
23 Mathematical Proceedings of the Cambridge Philosophical Society
22 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
22 Archiv der Mathematik
22 The Electronic Journal of Combinatorics
21 International Journal of Algebra and Computation
21 International Journal of Number Theory
20 Linear and Multilinear Algebra
20 Journal of Soviet Mathematics
19 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
16 Journal of Algebraic Geometry
16 Discrete Mathematics, Algorithms and Applications
15 Discrete Applied Mathematics
15 Journal für die Reine und Angewandte Mathematik
15 Theoretical Computer Science
13 Memoirs of the American Mathematical Society
13 Probability Theory and Related Fields
13 Algebra Colloquium
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Topology and its Applications
12 Indagationes Mathematicae. New Series
12 Algebraic & Geometric Topology
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 the European Mathematical Society (JEMS)
11 Journal of Commutative Algebra
10 International Journal of Modern Physics A
10 Physics Letters. A
10 Mathematics of Computation
10 Beiträge zur Algebra und Geometrie
10 Nagoya Mathematical Journal
10 Acta Applicandae Mathematicae
10 Constructive Approximation
10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
10 Finite Fields and their Applications
9 Acta Mathematica
9 Journal of Computational and Applied Mathematics
9 Journal of Statistical Planning and Inference
9 Proceedings of the Japan Academy. Series A
9 Tokyo Journal of Mathematics
9 Annals of Mathematics. Second Series
9 Science China. Mathematics
8 Mathematical Notes
8 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 The Annals of Probability
...and 305 more Serials
all top 5

Cited in 60 Fields

1,834 Combinatorics (05-XX)
1,086 Group theory and generalizations (20-XX)
912 Commutative algebra (13-XX)
896 Algebraic geometry (14-XX)
659 Nonassociative rings and algebras (17-XX)
579 Associative rings and algebras (16-XX)
521 Number theory (11-XX)
493 Special functions (33-XX)
416 Quantum theory (81-XX)
297 Linear and multilinear algebra; matrix theory (15-XX)
287 Topological groups, Lie groups (22-XX)
250 Probability theory and stochastic processes (60-XX)
173 Statistical mechanics, structure of matter (82-XX)
159 Manifolds and cell complexes (57-XX)
141 Category theory; homological algebra (18-XX)
122 Order, lattices, ordered algebraic structures (06-XX)
118 Dynamical systems and ergodic theory (37-XX)
118 Algebraic topology (55-XX)
117 Convex and discrete geometry (52-XX)
108 Several complex variables and analytic spaces (32-XX)
90 Differential geometry (53-XX)
88 Abstract harmonic analysis (43-XX)
88 Computer science (68-XX)
81 Global analysis, analysis on manifolds (58-XX)
79 Field theory and polynomials (12-XX)
70 Partial differential equations (35-XX)
65 Operator theory (47-XX)
62 \(K\)-theory (19-XX)
61 Numerical analysis (65-XX)
55 Functional analysis (46-XX)
42 Difference and functional equations (39-XX)
42 Geometry (51-XX)
41 Functions of a complex variable (30-XX)
40 Ordinary differential equations (34-XX)
40 General topology (54-XX)
40 Systems theory; control (93-XX)
39 Information and communication theory, circuits (94-XX)
38 Mathematical logic and foundations (03-XX)
38 Harmonic analysis on Euclidean spaces (42-XX)
36 Relativity and gravitational theory (83-XX)
34 Statistics (62-XX)
32 Approximations and expansions (41-XX)
18 Real functions (26-XX)
17 Measure and integration (28-XX)
16 Integral transforms, operational calculus (44-XX)
14 Mechanics of particles and systems (70-XX)
14 Operations research, mathematical programming (90-XX)
11 Biology and other natural sciences (92-XX)
10 History and biography (01-XX)
7 General and overarching topics; collections (00-XX)
7 General algebraic systems (08-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)
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 Classical thermodynamics, heat transfer (80-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.