Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
|
| gptkbp:category |
representation theory
linear algebra ring theory |
| gptkbp:dimensions |
n^2 for n-dimensional vector space over a field
|
| gptkbp:example |
algebra of n x n matrices over a field
|
| gptkbp:field |
abstract algebra
|
| gptkbp:generalizes |
gptkb:algebra
|
| gptkbp:heldBy |
set of all endomorphisms of a module or vector space
|
| https://www.w3.org/2000/01/rdf-schema#label |
Endomorphism algebra
|
| gptkbp:identityElement |
yes
identity map |
| gptkbp:notation |
End(V)
End_R(M) |
| gptkbp:operator |
scalar multiplication
composition of functions addition of functions |
| gptkbp:property |
gptkb:associative_algebra
unital algebra finite-dimensional if module is finite-dimensional |
| gptkbp:rank |
gptkb:King
gptkb:Field |
| gptkbp:relatedConcept |
gptkb:C*-algebra
homomorphism automorphism group |
| gptkbp:relatedTo |
gptkb:Vector
gptkb:model endomorphism |
| gptkbp:structure |
gptkb:associative_algebra
|
| gptkbp:usedIn |
study of linear operators
study of module homomorphisms |
| gptkbp:bfsParent |
gptkb:Abelian_varieties
|
| gptkbp:bfsLayer |
7
|