Gelfand–Kirillov dimension
id:
gelfand-kirillov-dimension-163-8657612
title:
Gelfand–Kirillov dimension
text:
In algebra, the Gelfand–Kirillov dimension of a right module M over a k-algebra A is:
- GKdim = sup V, M 0 lim sup n → ∞ log n dim k M 0 V n where the supremum is taken over all finite-dimensional subspaces V ⊂ A and M 0 ⊂ M. An algebra is said to have polynomial growth if its Gelfand–Kirillov dimension is finite.
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Gelfand%E2%80%93Kirillov_dimension
date created:
2012-05-30T22:40:04Z
date modified:
2024-08-28T22:04:27Z
main entity:
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13
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