Friederich Ignaz Mautner

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Friederich I. Mautner
Born1921
Died1996
NationalityAustrian American
Alma materPrinceton University
Scientific career
FieldsMathematics
InstitutionsJohns Hopkins University
Doctoral advisorJohn von Neumann
Doctoral studentsJoseph 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.

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