Ferdinand Georg Frobenius
Ferdinand Georg Frobenius, called George, ( born October 26, 1849 in Berlin, † August 3, 1917 in Charlottenburg, today a district of Berlin) was a German mathematician.
Life
Georg Frobenius studied in 1867 initially for one semester at the Georg -August- University Göttingen, then at the Friedrich- Wilhelms- University of Berlin and received his doctorate in 1870 under Karl Weierstrass and Ernst Eduard Kummer. First, he taught at Berlin Sophie Gymnasium. In 1874, he was, without ever having habilitated, appointed at the University of Berlin to associate professor. A year later he was appointed professor at the Federal Polytechnic in Zurich. In 1892 he returned as a successor to the late Leopold Kronecker back to the University of Berlin. There he continued through high standards for examinations.
Along with Leopold Kronecker, Lazarus Immanuel Fuchs and Hermann Amandus Schwarz, he belonged to the inner circle of famous Berlin mathematicians of his time. He was also a member of the Prussian Academy of Sciences.
Work
Frobenius was mainly concerned with the theory of groups and their representation theory.
Various mathematical concepts are named after him, including:
- Frobenius
- Frobeniushomomorphismus in commutative algebra
- Frobenius
- Frobeniusmatrix
- Frobenius norm
- Frobeniusnormalform for endomorphisms of finite-dimensional vector spaces
- Frobenius problem
- Frobenius inner product