nLab George Mackey

• Wikipedia entry

Links

• George Mackey (1916–2006), Notices of the American Mathematical Society; vol. 54, no. 7 (August 2007) (pdf).

• David Mumford, George Mackey.

• Harvard commemorative website

Selected writings

On Pontrjagin duality:

• George Mackey, The Laplace Transform For Locally Compact Abelian Groups, Proceedings of the National Academy of Sciences of the United States of America Vol. 34, No. 4 (Apr. 15, 1948), pp. 156-162 (jstor:87968)

On the representation theory of induced representations

• George Mackey, Induced representations of locally compact groups I, Annals of Mathematics 55 1 (1952) 101-139 [doi:10.2307/1969423, jstor:1969423]

• George Mackey: Induced representations of locally compact groups II, Annals of Mathematics 58 2 (1953) 193-221 [doi:10.2307/1969786, jstor:1969786]

and the relation to Wigner's classification of fundamental particles:

• George Mackey: Induced representations of groups and quantum mechanics, W. A. Benjamin, New York (1968) [ark:/13960/t6841m201]

On the mathematical physics and quantum logic of quantum mechanics:

• George Mackey, The Mathematical Foundations of Quantum Mechanics: a Lecture-note Volume, Mathematical physics monograph series, Benjamin (1963), Dover (2004) [google books]

On harmonic analysis:

• Harmonic analysis as the exploitation of symmetry - a historical survey, Bull. Amer. Math. Soc. (N.S.) Volume 3, Number 1, Part 1 (1980), 543-698 (pdf).

This is reprinted with other essays in

• The Scope and History of Commutative and Noncommutative Harmonic Analysis, AMS, 1992.

Related concepts

• induced representation, Wigner classification

• Mackey functor

category: people