Friederich Mautner

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Friederich Ignaz Mautner (* 1921 in Vienna ; † 1996 ) was an American mathematician.

As a Jew, Mautner emigrated to the USA via England after the annexation of Austria . He received his doctorate from Princeton University in 1948 (Unitary Representations of Infinite Groups). He taught at Johns Hopkins University and later at the University of Paris and in Italy.

He was at the Institute for Advanced Study several times (1946/47, 1954/56, 1965/66).

He dealt with representation theory of groups, functional analysis and differential geometry .

According to him, Mautner's Lemma and Mautner's phenomenon in representation theory of Lie groups named. Mautner came across it in connection with the ergodic theory of geodetic rivers. Mautner's phenomenon describes the observation that a Hilbert space vector in a unitary representation of a Lie group G, which is invariant under a one-parameter subgroup, which is given by the exponential mapping of an element of the Lie algebra of G, is also invariant under a larger subgroup.

With a paper from 1958 he was a pioneer of the representation theory of reducible p-adic groups .

A special five-dimensional Lie group is named after him (Mautner group).

Joseph Shalika is one of his PhD students .

Fonts

  • Completeness of the irreducible unitary representations of a locally compact group, Proc. Nat. Acad. Sci. USA, Vol. 34, 1948, pp. 52-54
  • Unitary representations of locally compact groups, 1,2, Volume 51, 1950, 1-24, Volume 52, 1950, pp. 528-556
  • Infinite-dimensional irreducible representations of certain groups, Proc. Amer. Math. Soc., Vol. 1, 1950, pp. 582-584.

Individual evidence

  1. ↑ Life data after Kühler Abschied - Vienna 1938 and the exodus of mathematics , exhibition of the Austrian Mathematical Society at the University of Vienna 2001, pdf . There as Friedrich Mautner. In the IAS membership book 1980 Friederich Mautner.
  2. ^ Mathematics Genealogy Project
  3. ↑ Mautner Geodesic flows on symmetric Riemannian spaces , Annals of Mathematics, Volume 65, 1957, pp. 416-430
  4. ^ Mautner spherical functions over P-adic fields. I, Amer. J. Math. 80 (1958), 441-457, Part 2 first appeared in Amer. J. Math., Vol. 86, 1964, pp. 171-200
  5. ↑ z. B. Baggett, Merrill: Representations of the Mautner group and cocycles of an irrational rotation . In: Michigan Math. J. , Volume 33, 1986, 221–229 ( online ( memento of the original from December 17, 2015 in the Internet Archive ) Info: The archive link has been inserted automatically and has not yet been checked. Please check the original and archive link accordingly Instructions and then remove this notice. ) @1@ 2Template: Webachiv / IABot / projecteuclid.org
personal data
SURNAME Mautner, Friederich
ALTERNATIVE NAMES Mautner, Friederich Ignaz (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH 1921
PLACE OF BIRTH Vienna
DATE OF DEATH 1996