Polynomial functor

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Definition

Field Characteristic Category Vector spaces Linear maps

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Combinatorial species

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Overview

Endofunctor Category V {\displaystyle {\mathcal {V}}} of finite-dimensional vector spaces Symmetric powers Exterior powers Schur functors

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Overview

Endofunctor
Category V {\displaystyle {\mathcal {V}}} of finite-dimensional vector spaces Category of vector spaces
Symmetric powers Symmetric power
Exterior powers Exterior power
Schur functors Schur functor
Representation theory
Category theory
Calculus of functors
Category of finite-dimensional representations Category of representations
Symmetric group

Definition

Field Field (mathematics)
Characteristic Characteristic (algebra)
Category Category (mathematics)
Vector spaces Vector space
Linear maps Linear map
Polynomial mapping
Coefficients Coefficient
Homogeneous Homogeneous function

Variants

Combinatorial species

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Nodes23

Edges22

Triples6

Avg. degree1.91

Density0.086957

Components1

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