# George Mackey

#2,536

Most Influential Person Now

American mathematician

## George Mackey's AcademicInfluence.com Rankings

George Mackeymathematics Degrees

Mathematics

#160

World Rank

#383

Historical Rank

#71

USA Rank

Measure Theory

#688

World Rank

#934

Historical Rank

#276

USA Rank

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Mathematics

## Why Is George Mackey Influential?

(Suggest an Edit or Addition)According to Wikipedia, George Whitelaw Mackey was an American mathematician known for his contributions to quantum logic, representation theory, and noncommutative geometry. Career Mackey earned his bachelor of arts at Rice University in 1938 and obtained his Ph.D. at Harvard University in 1942 under the direction of Marshall H. Stone. He joined the Harvard University Mathematics Department in 1943, was appointed Landon T. Clay Professor of Mathematics and Theoretical Science in 1969 and remained there until he retired in 1985.

## George Mackey's Published Works

### Published Works

- The Mathematical Foundations of Quantum Mechanics (1964) (837)
- INDUCED REPRESENTATIONS OF LOCALLY COMPACT GROUPS I (1952) (539)
- Unitary representations of group extensions. I (1958) (519)
- Induced representations of groups and quantum mechanics (1968) (424)
- Mathematical problems of relativistic physics (1963) (380)
- The theory of unitary group representations (1976) (372)
- Borel structure in groups and their duals (1957) (345)
- Imprimitivity for Representations of Locally Compact Groups I. (1949) (235)
- On Induced Representations of Groups (1951) (220)
- Unitary group representations - in physis, probability, and number theory (1989) (190)
- Ergodic theory and virtual groups (1966) (190)
- Infinite-dimensional group representations (1963) (172)
- Induced Representations of Locally Compact Groups II. The Frobenius Reciprocity Theorem (1953) (169)
- A theorem of Stone and von Neumann (1949) (147)
- Point realizations of transformation groups (1962) (137)
- Quantum Mechanics and Hilbert Space (1957) (128)
- The Mathematical Papers (1993) (110)
- On Infinite Dimensional Linear Spaces. (1943) (93)
- Harmonic analysis as the exploitation of symmetry–a historical survey (1980) (79)
- On infinite-dimensional linear spaces (1945) (76)
- Ergodic transformation groups with a pure point spectrum (1964) (70)
- On Convex Topological Linear Spaces. (1943) (68)
- The mathematical foundations of quantum mechanics : a lecture-note volume (1963) (60)
- ERGODIC THEORY, GROUP THEORY AND DIFFERENTIAL GEOMETRY. (1963) (58)
- The theory of group representations (1955) (53)
- Isomorphisms of Normed Linear Spaces (1942) (52)
- Note on a theorem of Murray (1946) (49)
- Ring and lattice characterizations of complex Hilbert space (1946) (45)
- The scope and history of commutative and noncommutative harmonic analysis (1992) (40)
- Ergodic theory and its significance for statistical mechanics and probability theory (1974) (38)
- Equivalence of a problem in measure theory to a problem in the theory of Vector Lattices (1944) (38)
- The Laplace Transform for Locally Compact Abelian Groups. (1948) (34)
- Symmetric and Anti Symmetric Kronecker Squares and Intertwining Numbers of Induced Representations of Finite Groups (1953) (31)
- Induced Representations of Locally Compact Groups and Applications (1970) (25)
- Commutative Banach algebras (1959) (24)
- Multiplicity free representations of finite groups. (1958) (19)
- Two Characterizations of Real Hilbert Space (1944) (18)
- Some remarks on symplectic automorphisms (1965) (18)
- Functions on locally compact groups (1950) (14)
- Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics: Proceedings of a Conference in Honor of George W. Mackey (2011) (14)
- A Generalization of Ulm’s Theorem (1995) (12)
- Axiomatics of particle interactions (1993) (11)
- Weyl’s Program and Modern Physics (1988) (11)
- Von Neumann and the early days of ergodic theory (2005) (10)
- Induced representations and the applications of harmonic analysis (1988) (10)
- George Mackey and his work on representation theory and foundations of physics (2007) (9)
- George Mackey and his work on representation theory and foundations of physics (2007) (9)
- A remark on locally compact Abelian groups (1946) (9)
- Herman Weyl and the application of group theory to quantum mechanics (2005) (5)
- William Lowell Putnam Mathematical Competition (1938) (4)
- A remark on systems of imprimitivity (1962) (3)
- MATHEMATICAL PROBLEMS OF RELATIVISTIC PHYSICS; WITH AN APPENDIX ON GROUP REPRESENTATIONS IN HILBERT SPACE. Volume 2 (1963) (3)
- Review: A. Y. Khinchin, Mathematical foundations of quantum statistics (1962) (3)
- Lecture notes on the mathematical foundations of quantum mechanics : Math. 265 (1960) (2)
- Infinite Dimensional Group Representations and their Applications (2010) (2)
- Harmonic analysis and unitary group representations : the development from 1927 to 1950 (1992) (1)
- ERGODIC ACTIONS OF THE EUCLIDEAN GROUP AND THE CANONICAL COMMUTATION RELATIONS. (1968) (1)
- Effort reporting and cost sharing of federal research. (1966) (1)
- Lectures on the theory of functions of a complex variable (1967) (1)
- Some remarks on harmonic analysis (1975) (0)
- Representation Theory of Lie Groups: Induced representations (1980) (0)
- BOREL STRUCTURE IN GROUPS AND THEIR DUALSO (2010) (0)
- MATHEMATICS: ON INFINITE DIMENSIONAL LINEAR SPA CES (2005) (0)
- Group representations and non-commutative harmonic analysis with applications to analysis, number theory, and physics (1965) (0)
- A Connection between Lie Algebra Roots and Weights and the Fock Space Construction (1994) (0)
- Banach Spaces and Hilbert Spaces (1986) (0)
- THE ORGANISATION OF THE METEOROLOGICAL SERVICE.1 (1955) (0)
- The significance of invariant measures for harmonic analysis (2005) (0)
- Group Representations and Analysis (1963) (0)
- Some remarks on Lie superalgebras (1987) (0)
- Representation Theory of Lie Groups: Origins and early history of the theory of unitary group representations (1980) (0)

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## Other Resources About George Mackey

## What Schools Are Affiliated With George Mackey?

George Mackey is affiliated with the following schools: