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Frobenius algebra

In mathematics, especially in the fields of representation theory and module theory, a Frobenius algebra is a finite-dimensional unital associative algebra with a special kind of bilinear form which gives the algebras particularly nice duality theories. Frobenius algebras began to be studied in the 1930s by Richard Brauer and Cecil Nesbitt and were named…

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Frobenius algebra

Nodes80
Edges79
Triples58
Avg. degree1.98
Density0.025
Components1

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Frobenius algebra

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related to Properties · 17
Frobenius algebra → A-duals, A-module Homk, Amongst, Artinian, Commutative, F-algebra, For, Frobenius, Frobenius F-algebra, Gorenstein, HomA, Hopf, If, In, Similarly, The, This
related to Examples · 11
Frobenius algebra → Any, End, Every, For, Frobenius, Hopf, If, Larson-Sweedler, Note, The, This
related to External links · 9
Frobenius algebra → Annual Meeting Aust, Cite, CiteSeerX, Frobenius, Math, PDF, Ross, Soc, Street
related to Topological quantum field theories · 8
Frobenius algebra → Cob, Frobenius, More, Recently, The, TQFT, TQFTs, Vect
has application · 3
Frobenius algebra → Frobenius, Hopf, They
related to Definition · 3
Frobenius algebra → Equivalently, Frobenius, This
related to Nakayama automorphism · 3
Frobenius algebra → For, Frobenius, Nakayama
is a · 2
Frobenius algebra → finite-dimensional unital associative algebra with a special kind of bilinear form which gives the algebras particularly nice duality theories, k-vector-space A with two multiplication structures as unital Frobenius algebras
related to Category-theoretical definition · 2
Frobenius algebra → Frobenius, In

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frobenius algebra algebras field finite-dimensional ring theory displaystyle right commutative category unital extension associative form also group given called left

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SubjectPredicateObjectConfidenceSrc
Frobenius algebrais afinite-dimensional unital associative algebra with a special kind of bilinear form which gives the algebras particularly nice duality theories0.90text
Frobenius algebrais ak-vector-space A with two multiplication structures as unital Frobenius algebras0.90text
Frobenius algebrahas applicationFrobenius0.60section
Frobenius algebrahas applicationThey0.60section
Frobenius algebrahas applicationHopf0.60section
Frobenius algebrarelated to Category-theoretical definitionIn0.60section
Frobenius algebrarelated to Category-theoretical definitionFrobenius0.60section
Frobenius algebrarelated to DefinitionFrobenius0.60section
Frobenius algebrarelated to DefinitionThis0.60section
Frobenius algebrarelated to DefinitionEquivalently0.60section
Frobenius algebrarelated to ExamplesAny0.60section
Frobenius algebrarelated to ExamplesFrobenius0.60section

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