Alfred Clebsch

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Alfred Clebsch, 1833–1872
Signature Alfred Clebsch.PNG

Rudolf Friedrich Alfred Clebsch (born January 19, 1833 in Königsberg ; † November 7, 1872 in Göttingen ) was a German mathematician who made significant contributions to algebraic geometry and invariant theory.

Life

Clebsch studied mathematics at the Albertina in Königsberg from 1850 . Among his teachers there was in particular Otto Hesse , who in turn was a pupil of Carl Gustav Jacob Jacobi . In 1854 he received his doctorate there with the work on the motion of an ellipsoid in a liquid . Clebsch then worked from 1854 in Berlin as a teacher at various schools. In 1858 he completed his habilitation in mathematical physics at Berlin University .

In the autumn of 1858 Clebsch accepted a call as professor of analytical mechanics at the Polytechnic School in Karlsruhe , where he worked from 1858 to 1863. In 1863 he became a full professor in Gießen , then in 1868 in Göttingen , where he died of diphtheria in 1872 at the age of only 39 when he was rector .

In 1864 he was elected a corresponding member of the Göttingen Academy of Sciences . From 1868 he was a corresponding member of the Prussian and from 1869 of the Bavarian Academy of Sciences .

His collaboration with Paul Gordan led to the development of the Clebsch-Gordan coefficients from the representation theory of the rotating group, which are widely used in quantum mechanics . As the center of his own school of algebraic geometry, he further developed Bernhard Riemann's ideas on the geometric application of function theory . The strong geometric orientation of his school was viewed with skepticism by the Berlin mathematicians around Weierstrass, Kronecker and Kummer. After the death of Clebsch, his pupil Felix Klein took over the management of his school and the opposition of the Berlin mathematicians, who insisted on greater precision, carried over to them, which gave rise to the germ of the contrast between Berlin and Göttingen mathematicians in the late 19th century the leading schools in Germany.

Together with Carl Gottfried Neumann , he founded the mathematical journal Mathematische Annalen in 1868 , which for a long time was one of the world's most respected mathematical journals.

Tomb of Clebsch

The grave of Clebsch is in the Bartholomäusfriedhof in Göttingen. For a long time after 1960 the tomb was in a poor and incomplete condition. In 2006 the tombstone was restored, with the part above the scroll being recreated in a simplified form. The modern medallion has Thomas Duttenhoefer created based on the original of 2006. The inauguration took place on May 23, 2006.

Fonts

  • Solid body elasticity theory . Teubner, Leipzig (1862)
  • with Paul Gordan: Theory of Abelian Functions . Leipzig (1866)
  • Theory of binary algebraic forms . Leipzig (1872)
  • Théorie de l´Élasticité des Corps Solides . Traduite par Barré de Saint-Venant et Flamant , avec des notes étendues de Saint-Venant. Dunod, Paris (1883)

Individual evidence

  1. published in Crelles Journal Vol. 52 (1856): pp. 102–32 ( pdf )
  2. Holger Krahnke: The members of the Academy of Sciences in Göttingen 1751-2001 (= Treatises of the Academy of Sciences in Göttingen, Philological-Historical Class. Volume 3, Vol. 246 = Treatises of the Academy of Sciences in Göttingen, Mathematical-Physical Class. Episode 3, vol. 50). Vandenhoeck & Ruprecht, Göttingen 2001, ISBN 3-525-82516-1 , p. 60.
  3. ^ Members of the previous academies. Alfred Clebsch. Berlin-Brandenburg Academy of Sciences and Humanities , accessed on March 9, 2015 .
  4. ^ Member entry by Alfred Clebsch (with a link to an obituary) at the Bavarian Academy of Sciences , accessed on January 17, 2017.

literature

Web links

Commons : Alfred Clebsch  - Collection of pictures, videos and audio files