Polynomial functor
id:
polynomial-functor-253-14260069
title:
Polynomial functor
text:
In algebra, a polynomial functor is an endofunctor on the category V of finite-dimensional vector spaces that depends polynomially on vector spaces. For example, the symmetric powers V ↦ Sym n and the exterior powers V ↦ ∧ n are polynomial functors from V to V ; these two are also Schur functors. The notion appears in representation theory as well as category theory. In particular, the category of homogeneous polynomial functors of degree n is equivalent to the category of finite-dimensional r
brand slug:
wiki
category slug:
encyclopedia
description:
Endofunctor on the category V of finite-dimensional vector spaces
original url:
https://en.wikipedia.org/wiki/Polynomial_functor
date created:
date modified:
2024-03-04T19:09:52Z
main entity:
{"identifier":"Q48842893","url":"https://www.wikidata.org/entity/Q48842893"}
image:
fields total:
13
integrity:
14