In category theory, a branch of mathematics, a Frobenius category is an exact category with enough projectives and enough injectives, where the classes of projectives and injectives coincide. It is an analog of a Frobenius algebra.
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In category theory, a branch of mathematics, a Frobeniuscategory is an exact category with enough projectives and enough injectives, where the classes...
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...
Georg Frobenius, a German mathematician. Arithmetic and geometric Frobenius Cauchy–Frobenius lemma Frobenioid Frobenius algebra Frobeniuscategory Frobenius...
In commutative algebra and field theory, the Frobenius endomorphism (after Ferdinand Georg Frobenius) is a special endomorphism of commutative rings with...
objects in modern mathematical physics, known as Frobenius manifolds. Ferdinand Georg Frobenius was born on 26 October 1849 in Charlottenburg, a suburb...
In mathematics, and in particular representation theory, Frobenius reciprocity is a theorem expressing a duality between the process of restricting and...
generated by X is a free functor (whence the name). Frobeniuscategory A Frobeniuscategory is an exact category that has enough injectives and enough projectives...
tangent space. The concept generalizes the notion of Frobenius algebra to tangent bundles. Frobenius manifolds occur naturally in the subject of symplectic...
Ruelle, or the Perron–Frobenius operator or Ruelle–Perron–Frobenius operator, in reference to the applicability of the Perron–Frobenius theorem to the determination...
quantum mechanics, the classical information is carried in a Frobenius algebra or Frobeniuscategory. For a purely quantum system, the time evolution, at certain...
mathematics, the category Grp (or Gp) has the class of all groups for objects and group homomorphisms for morphisms. As such, it is a concrete category. The study...
Johann Froben, in Latin: Johannes Frobenius (and combinations), (c. 1460 – 27 October 1527) was a famous printer, publisher and learned Renaissance humanist...
municipal ethnographic museum. Frobenius was influenced by Richard Andree, and his own teacher Friedrich Ratzel. In 1897/1898 Frobenius defined several "culture...
This is a timeline of category theory and related mathematics. Its scope ("related mathematics") is taken as: Categories of abstract algebraic structures...
injective) kG-modules. More generally, the stable module category is defined for any Frobenius algebra in place of kG. Some experts suspectpg 190 (see...
is a portmanteau of Frobenius and monoid, as certain Frobenius morphisms between Frobenioids are analogues of the usual Frobenius morphism, and some of...
many categories in mathematics, the category of rings is large, meaning that the class of all rings is proper. The category Ring is a concrete category meaning...
"Reasoning about meaning in natural language with compact closed categories and Frobenius algebras", Logic and Algebraic Structures in Quantum Computing...
Frobenius is a Danish firm of organ builders. Theodor Frobenius was born into a family of organ builders on 7 October 1885 in Weikersheim, Bavaria. From...
or model theory; naturally there is also a proof adapted to category theory, too. Frobenius reciprocity in the representation theory of groups: see induced...
In category theory, a branch of mathematics, dagger compact categories (or dagger compact closed categories) first appeared in 1989 in the work of Sergio...
language of dagger compact closed categories. Dagger commutative Frobenius algebras in the category of finite-dimensional Hilbert spaces correspond to orthogonal...
called Frobenius reciprocity. The basic question is whether the decomposition into irreducible representations (simple objects of the category) behaves...
example, Sylow's theorem was reproven by Frobenius in 1887 directly from the laws of a finite group, although Frobenius remarked that the theorem followed from...
prime characteristic p, R → R, x → xp is a ring endomorphism called the Frobenius endomorphism. If R and S are rings, the zero function from R to S is a...
and cultural geography, cultural diffusion, as conceptualized by Leo Frobenius in his 1897/98 publication Der westafrikanische Kulturkreis, is the spread...
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