Ferdinand Georg Frobenius was a German mathematician, born on 26 October 1849 and died on 3 August 1917, best known for his contributions to the theory of elliptic functions, differential equations, number theory and group theory. He is known for the determinantal identities called the Frobenius-Stickelberger formulae and for developing the theory of biquadratic forms. He was the first to introduce rational approximations of functions, now known as Pade approximants, and gave the first full proof of the Cayley-Hamilton theorem. Frobenius manifolds in mathematical physics also carry his name.
Facts
Ferdinand Georg Frobenius
Filter Results1 entry
Connections
In Branch
Source Ferdinand Georg Frobenius (Wikipedia)
Source Ferdinand Georg Frobenius (Wikipedia)
Source Ferdinand Georg Frobenius (Wikipedia)
Mentored
Source Issai Schur (Wikipedia)
Mentored By
Source Ferdinand Georg Frobenius (Wikipedia)
Proofs Credited
Source Burnside's Lemma (Wikipedia)
Source Frobenius reciprocity, Wikipedia
Source Perron-Frobenius theorem (Wikipedia)
In the Other Atlases
Nationality
Also in Geography Atlas: the nationality of this subject.
Source Ferdinand Georg Frobenius (Wikipedia)Lead paragraph [nationality-culture]Quote, Lead paragraph [nationality-culture]
was a German mathematician
Sources
1. Ferdinand Georg Frobenius (Wikipedia)
Lead paragraph
his contributions to the theory of elliptic functions, different
Lead paragraph [nationality-culture]
was a German mathematician
In Branch: Group Theory, Lead paragraph [in-branch]
group theory
In Branch: Number Theory, Lead paragraph [in-branch 2]
number theory
In Branch: Differential Equations, Lead paragraph [in-branch 3]
differential equations
- Mentored By: Karl Weierstrass, Infobox, doctoral advisor or academic advisors
View the SourceFrobenius reciprocity, Wikipedia
Proofs Credited: Frobenius Reciprocity Theorem, Lead paragraphQuote, Proofs Credited: Frobenius Reciprocity Theorem, Lead paragraph
In mathematics, and in particular representation theory, Frobenius reciprocity is a theorem expressing a duality between the process of restricting and inducing. It can be used to leverage
Issai Schur (Wikipedia)
Mentored: Issai Schur, Infobox, doctoral advisor or academic advisorsQuote, Mentored: Issai Schur, Infobox, doctoral advisor or academic advisors
As a student of Ferdinand Georg Frobenius, he worked on group representations (the subject with which he is most closely associated), but also in combinatorics and number theory and even theoretical physics.
Perron-Frobenius theorem (Wikipedia)
Proofs Credited: Perron-Frobenius Theorem, LeadQuote, Proofs Credited: Perron-Frobenius Theorem, Lead
In matrix theory, the Perron-Frobenius theorem, proved in its first part by Oskar Perron (1907) and extended by Georg Frobenius (1912), asserts that a real square matrix with positive entries has a unique eigenvalue of largest magnitude and that eigenvalue is real.
Burnside's Lemma (Wikipedia)
Wikimedia FoundationProofs Credited: Burnside's Lemma, LeadQuote, Proofs Credited: Burnside's Lemma, Lead
It was discovered by Augustin Louis Cauchy and Ferdinand Georg Frobenius, and became well known after William Burnside quoted it.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.