Friederich Ignaz Mautner
| Friederich I. Mautner | |
|---|---|
| Born | 1921 Vienna |
| Died | 1996 |
| Nationality | Austrian American |
| Fields | Mathematics |
| Institutions | Johns Hopkins University |
| Alma mater | Princeton University |
| Doctoral students | Joseph Shalika |
Friederich Ignaz Mautner (1921 – 2001)[1] was an American mathematician, known for his research on the representation theory of groups, functional analysis, and differential geometry.
Mautner, a Jew, emigrated from Austria after the Anschluss via the U.K. and Ireland to the U.S.A. He received in 1948 a Ph.D. from Princeton University with thesis Unitary Representations of Infinite Groups.[2] He taught at Johns Hopkins University and then at the University of Paris and in Italy.
Mautner was an assistant at the Queen's University Belfast and a scholar at the Dublin Institute for Advanced Studies in 1944–1946.[3] He was a visiting scholar at the Institute for Advanced Study in 1946/47, 1954/56, and 1965/66.[4] He was a Guggenheim Fellow in the academic year 1954/55.
He is known for Mautner's Lemma and Mautner's Phenomenon[5] in the representation theory of Lie groups. Mautner's work on the lemma and the phenomenon was done in connection with the ergodic theory of geodesic flows.[6] With a ground-breaking paper in 1958, Mautner became an important pioneer in the representation theory of reducible p-adic groups.[7] The Mautner Group, a special five-dimensional Lie group, is named after him.[8]
His doctoral students include Joseph Shalika.
Selected works
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References
- ↑ Biographical information from Kühler Abschied - Wien 1938 und der Exodus der Mathematik, Ausstellung der Österreichischen Mathematischen Gesellschaft in der Universität Wien 2001
- ↑ Friederich I. Mautner at the Mathematics Genealogy Project
- ↑ Mautner, F.I. 1944–46 Scholar, Dublin Institure for Advanced Studies
- ↑ Mautner, Friederich I., Institute for Advanced Study
- ↑ Lua error in package.lua at line 80: module 'strict' not found.
- ↑ Mautner Geodesic flows on symmetric Riemannian spaces, Annals of Mathematics, vol. 65, 1957, pp. 416-430
- ↑ Mautner Spherical functions over p-adic fields. I, Amer. J. Math. 80 (1958), 441–457; Part 2 appeared 6 years later in Amer. J. Math., vol. 86, 1964, S. 171-200
- ↑ Baggett, Merrill Representations of the Mautner group and cocycles of an irrational rotation Michigan Math. J., vol. 33, 1986, 221-229
