Friederich Ignaz Mautner (1921–1996) was an Austrian-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. He taught at Johns Hopkins University and then at the University of Paris and in Italy. His doctoral students include Joseph Shalika.
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| - Friederich Mautner (de)
- Friederich Ignaz Mautner (en)
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| - Friederich Ignaz Mautner (* 1921 in Wien; † 1996) war ein US-amerikanischer Mathematiker. Mautner emigrierte als Jude nach dem Anschluss Österreichs über England in die USA. Er wurde 1948 an der Princeton University promoviert (Unitary Representations of Infinite Groups). Er lehrte an der Johns Hopkins University und später an der Universität Paris und in Italien. Er war mehrfach am Institute for Advanced Study (1946/47, 1954/56, 1965/66). Er befasste sich mit Darstellungstheorie von Gruppen, Funktionalanalysis und Differentialgeometrie. Zu seinen Doktoranden gehört Joseph Shalika. (de)
- Friederich Ignaz Mautner (1921–1996) was an Austrian-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. He taught at Johns Hopkins University and then at the University of Paris and in Italy. His doctoral students include Joseph Shalika. (en)
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| - Friederich I. Mautner (en)
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| - Friederich I. Mautner (en)
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| - Friederich Ignaz Mautner (* 1921 in Wien; † 1996) war ein US-amerikanischer Mathematiker. Mautner emigrierte als Jude nach dem Anschluss Österreichs über England in die USA. Er wurde 1948 an der Princeton University promoviert (Unitary Representations of Infinite Groups). Er lehrte an der Johns Hopkins University und später an der Universität Paris und in Italien. Er war mehrfach am Institute for Advanced Study (1946/47, 1954/56, 1965/66). Er befasste sich mit Darstellungstheorie von Gruppen, Funktionalanalysis und Differentialgeometrie. Nach ihm ist Mautner’s Lemma und Mautner’s Phänomen in der Darstellungstheorie von Liegruppen benannt. Mautner kam darauf in Zusammenhang mit der Ergodentheorie geodätischer Flüsse. Mautners Phänomen bezeichnet die Beobachtung, dass ein Hilbertraum-Vektor in einer unitären Darstellung einer Liegruppe G, der invariant unter einer einparametrigen Untergruppe ist, die durch die exponentielle Abbildung eines Elements der Liealgebra von G gegeben ist, auch unter einer größeren Untergruppe invariant ist. Mit einer Arbeit von 1958 war er ein Pionier der Darstellungstheorie reduzibler p-adischer Gruppen. Eine spezielle fünfdimensionale Liegruppe ist nach ihm benannt (Mautner Gruppe). Zu seinen Doktoranden gehört Joseph Shalika. (de)
- Friederich Ignaz Mautner (1921–1996) was an Austrian-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. 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. He was a visiting scholar at the Institute for Advanced Study in 1946/47, 1954/56, and 1965/66. He was a Guggenheim Fellow in the academic year 1954/55. He is known for Mautner's Lemma and Mautner's Phenomenon 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. With a ground-breaking paper in 1958, Mautner became an important pioneer in the representation theory of reducible p-adic groups. The Mautner Group, a special five-dimensional Lie group, is named after him. His doctoral students include Joseph Shalika. (en)
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