Ian G. Macdonald
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British mathematician
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Ian G. Macdonaldmathematics Degrees
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Mathematics
Why Is Ian G. Macdonald Influential?
(Suggest an Edit or Addition)According to Wikipedia, Ian Grant Macdonald was a British mathematician known for his contributions to symmetric functions, special functions, Lie algebra theory and other aspects of algebra, algebraic combinatorics, and combinatorics.
Ian G. Macdonald's Published Works
Published Works
- Symmetric functions and Hall polynomials (1979) (8254)
- Introduction to commutative algebra (1969) (4267)
- Simple groups of Lie type (1972) (1832)
- Affine root systems and Dedekind'sη-function (1971) (440)
- Affine Hecke Algebras and Orthogonal Polynomials (2003) (420)
- A new class of symmetric functions. (1988) (370)
- Information Systems Methodologies: A Framework for Understanding (1988) (360)
- Orthogonal polynomials associated with root systems (2000) (349)
- Notes on Schubert polynomials (1991) (314)
- Spherical functions on a group of p-adic type (1971) (302)
- Symmetric products of an algebraic curve (1962) (299)
- Some Conjectures for Root Systems (1982) (257)
- Symmetric Functions and Orthogonal Polynomials (1998) (200)
- Polynomials Associated with Finite Gell-Complexes (1971) (194)
- Lectures on Lie groups and Lie algebras (1995) (178)
- Information Engineering (1986) (169)
- The Poincare Polynomial of a Symmetric Product (1962) (167)
- Schur functions: Theme and variations. (1992) (162)
- The volume of a compact Lie group (1980) (99)
- Commuting differential operators and zonal spherical functions (1987) (83)
- The volume of a lattice polyhedron (1963) (76)
- CONVEX POLYTOPES AND THE UPPER BOUND CONJECTURE (1973) (71)
- Common Tangents to Four Unit Balls in R3 (2001) (63)
- An elementary proof of the non-vanishing of certain local cohomology modules (1972) (63)
- Polynomial functors and wreath products (1980) (61)
- On the Degrees of the Irreducible Representations of Symmetric Groups (1971) (57)
- Some Irreducible Representations of Weyl Groups (1972) (54)
- Duality over complete local rings (1962) (52)
- Numbers of conjugacy classes in some finite classical groups (1981) (51)
- Zeta functions attached to finite general linear groups (1980) (29)
- Some computations for m-dimensional partitions (1967) (28)
- Algebraic geometry : introduction to schemes (1968) (27)
- An Elementary Proof of a q-Binomial Identity (1989) (21)
- Information engineering—an improved, automatable methodology for the design of data sharing systems (1986) (20)
- Affine lie algebras and modular forms (1981) (18)
- Spherical functions on a $\mathfrak{p}$-adic Chevalley group (1968) (18)
- Jordan Algebras with Three Generators (1960) (17)
- A panorama of pure mathematics, as seen by N. Bourbaki (1982) (14)
- Affine Hecke Algebras and Orthogonal Polynomials: Orthogonal polynomials (2003) (11)
- EMM/ODP: A methodology for federated and distributed systems (1994) (10)
- Representation Theory of Lie Groups: Algebraic structure of Lie groups (1980) (9)
- Some enumerative formulae for algebraic curves (1958) (9)
- Hypergeometric Functions I (2013) (8)
- Hypergeometric Functions II (q-analogues) (2013) (6)
- Lectures on Lie Groups and Lie Algebras: Index (1995) (6)
- Automating the Information Engineering Methodology with the Information Engineering Facility (1988) (6)
- Automating information engineering (1988) (5)
- Affine Hecke Algebras and Orthogonal Polynomials: The affine Hecke algebra (2003) (5)
- Some conjectures for root systems and finite coxeter groups (1981) (5)
- On the Degrees of the Irreducible Representations of Finite Coxeter Groups (1973) (3)
- Some sign properties of symmetric functions (1989) (2)
- Information systems methodologies - a framework for understanding (2. ed.) (1991) (2)
- Modelling business relationships for effective client-server and open systems delivery (1995) (1)
- Orthogonal Polynomials Associated with Root Systems Introduction (2000) (1)
- A Note on Local Cohomology (1975) (1)
- Modelling Business Relationships in a Non-Centralised Systems Environment (1995) (1)
- Automating the information engineer—IPSEs and workbenches in context (1987) (1)
- Lectures on Lie Groups and Lie Algebras: Examples (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Maximal compact subgroups (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Preface (1995) (0)
- Chapter 16 – Automating information engineering (1990) (0)
- Lectures on Lie Groups and Lie Algebras: SU 2, SO 3, and SL 2ℝ (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Representations of simple Lie algebras (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Induced representations (1995) (0)
- Lectures on Lie Groups and Lie Algebras: The Lie algebra of a linear algebraic group (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Bibliography (1995) (0)
- Artin's Notes (1968) (0)
- Lectures on Lie Groups and Lie Algebras: Representation theory (1995) (0)
- The rank 1 case (2003) (0)
- Lectures on Lie Groups and Lie Algebras: Homogeneous spaces and quotients (1995) (0)
- TOPICS IN M‐ADIC TOPOLOGIES (1972) (0)
- Notes on algebraic varieties (1967) (0)
- Affine Hecke Algebras and Orthogonal Polynomials: Affine root systems (2003) (0)
- Lectures on Lie Groups and Lie Algebras: Homogeneous spaces (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Some theorems about matrices (1995) (0)
- Lectures on Lie Groups and Lie Algebras: The Heisenberg group (1995) (0)
- Young's Estimate of the Size of Molecules (1965) (0)
- Lectures on Lie Groups and Lie Algebras: The Borel-Weil theorem (1995) (0)
- Affine algebraic varieties (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Lie theory (1995) (0)
- Tangent spaces. Separability (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Linear algebraic groups: definition and elementary properties (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Simple Lie algebras over ℂ (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Representations of non-compact groups (1995) (0)
- Affine Hecke Algebras and Orthogonal Polynomials: The extended affine Weyl group (2003) (0)
- Experience with the Relational Database Model (Panel) (1986) (0)
- Affine Hecke Algebras and Orthogonal Polynomials: Introduction (2003) (0)
- Lectures on Lie Groups and Lie Algebras: The root structure of a linear algebraic group (1995) (0)
- Lectures on Lie Groups and Lie Algebras: The complexification of a compact group (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Introduction to Lie algebras (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Representations of SL 2ℝ (1995) (0)
- The Peter-Weyl theorem (1995) (0)
- Lectures on Lie Groups and Lie Algebras: The unitary and symmetric groups (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Notes and references (1995) (0)
- ASSOCIATED WITH ROOT SYSTEMS (2000) (0)
- Lectures on Lie Groups and Lie Algebras: Functions on ℝ n and S n -1 (1995) (0)
- Affine Hecke Algebras and Orthogonal Polynomials: The braid group (2003) (0)
- Lectures on Lie Groups and Lie Algebras: Projective algebraic varieties (1995) (0)
- Compact groups and integration (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Introduction (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Borel subgroups and maximal tori (1995) (0)
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