Differential equations Group theory Cayley–Hamilton theorem Frobenius method Frobenius matrix Frobenius inner product
Scientific career
Fields
Mathematics
Institutions
University of Berlin ETH Zurich
Doctoral advisor
Karl Weierstrass Ernst Kummer
Doctoral students
Richard Fuchs Edmund Landau Issai Schur Konrad Knopp Walter Schnee
Ferdinand Georg Frobenius (26 October 1849 – 3 August 1917) was a German mathematician, best known for his contributions to the theory of elliptic functions, differential equations, number theory, and to group theory. He is known for the famous determinantal identities, known as Frobenius–Stickelberger formulae, governing elliptic functions, and for developing the theory of biquadratic forms. He was also the first to introduce the notion of rational approximations of functions (nowadays known as Padé approximants), and gave the first full proof for the Cayley–Hamilton theorem. He also lent his name to certain differential-geometric objects in modern mathematical physics, known as Frobenius manifolds.
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as Frobenius manifolds. FerdinandGeorgFrobenius was born on 26 October 1849 in Charlottenburg, a suburb of Berlin, from parents Christian Ferdinand Frobenius...
In commutative algebra and field theory, the Frobenius endomorphism (after FerdinandGeorgFrobenius) is a special endomorphism of commutative rings with...
FerdinandGeorgFrobenius, a German mathematician. Arithmetic and geometric Frobenius Cauchy–Frobenius lemma Frobenioid Frobenius algebra Frobenius category...
In mathematics, the method of Frobenius, named after FerdinandGeorgFrobenius, is a way to find an infinite series solution for a linear second-order...
Frobenius is a surname. Notable people with the surname include: FerdinandGeorgFrobenius (1849–1917), mathematician Frobenius algebra Frobenius endomorphism...
representations of "large" groups that contain them. It is named for FerdinandGeorgFrobenius, the inventor of the representation theory of finite groups. The...
There are several mathematical theorems named after FerdinandGeorgFrobenius. They include: Frobenius theorem (differential topology) in differential geometry...
field extensions. The form is named after German mathematician FerdinandGeorgFrobenius. Some authors use the term rational canonical form for a somewhat...
at the University of Bonn, professor in 1919. As a student of FerdinandGeorgFrobenius, he worked on group representations (the subject with which he...
"Riemannian period relations" (symmetric, real part negative). By FerdinandGeorgFrobenius and Solomon Lefschetz the validity of this relation is equivalent...
\\0&-a_{n2}&0&\cdots &1\end{pmatrix}}} Frobenius matrices are named after FerdinandGeorgFrobenius. The term Frobenius matrix may also be used for an alternative...
the mathematician FerdinandFrobenius. Each covariant is a projection on the eigenspace associated with the eigenvalue λi. Frobenius covariants are the...
In number theory, a Frobenius pseudoprime is a pseudoprime, whose definition was inspired by the quadratic Frobenius test described by Jon Grantham in...
the hypergeometric differential equation using Frobenius method, named after FerdinandGeorgFrobenius. This is a method that uses the series solution...
element of the subfield GF(p). It is called the Frobenius automorphism, after FerdinandGeorgFrobenius. Denoting by φk the composition of φ with itself...
ingredient in characterizing integrable systems is the Frobenius theorem, which states that a system is Frobenius integrable (i.e., is generated by an integrable...
Buttenberg, and Heinrich G. Wiechell Frobenius algebra, automorphism, method, norm, theorem – FerdinandGeorgFrobenius Froude number – William Froude Fry...
mathematical minds of the time, including Karl Weierstrass, Felix Klein, FerdinandGeorgFrobenius and Max Planck. Fields also began a lifelong friendship with Gösta...
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