Definition of Frobenius. Meaning of Frobenius. Synonyms of Frobenius

- Frobenius is a surname. Notable people with the surname include: Ferdinand Georg Frobenius (1849–1917), mathematician Frobenius algebra Frobenius endomorphism...
- In matrix theory, the Perron–Frobenius theorem, proved by Oskar Perron (1907) and Georg Frobenius (1912), ****erts that a real square matrix with positive...
- circular shifts. The Frobenius norm is an extension of the Euclidean norm to K n × n {\displaystyle K^{n\times n}} and comes from the Frobenius inner product...
- projectives and injectives coincide. It is an analog of a Frobenius algebra. The stable category of a Frobenius category is canonically a triangulated category...
- G. Frobenius. Suppose G is a Frobenius group consisting of permutations of a set X. A subgroup H of G fixing a point of X is called a Frobenius complement...
- under the Frobenius endomorphism F*. Brion & Kumar (2005) give a detailed discussion of Frobenius splittings. A fundamental property of Frobenius-split projective...
- duality theories. Frobenius algebras began to be studied in the 1930s by Richard Brauer and Cecil Nesbitt and were named after Georg Frobenius. Tadashi Nakayama...
- objects in modern mathematical physics, known as Frobenius manifolds. Ferdinand Georg Frobenius was born on 26 October 1849 in Charlottenburg, a suburb...
- A Frobenius matrix is a special kind of square matrix from numerical analysis. A matrix is a Frobenius matrix if it has the following three properties:[citation...
- In commutative algebra and field theory, the Frobenius endomorphism (after Ferdinand Georg Frobenius) is a special endomorphism of commutative rings with...