Cartan pair
id:
cartan-pair-240-58342
title:
Cartan pair
text:
In the mathematical fields of Lie theory and algebraic topology, the notion of Cartan pair is a technical condition on the relationship between a reductive Lie algebra g and a subalgebra k reductive in g . A reductive pair is said to be Cartan if the relative Lie algebra cohomology is isomorphic to the tensor product of the characteristic subalgebra and an exterior subalgebra ⋀ P ^ of H ∗ , where P ^ , the Samelson subspace, are those primitive elements in the kernel of the composition P → τ S →
brand slug:
wiki
category slug:
encyclopedia
description:
Technical condition on the relationship between a reductive Lie algebra and a subalgebra
original url:
https://en.wikipedia.org/wiki/Cartan_pair
date created:
date modified:
2021-07-13T17:59:43Z
main entity:
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image:
fields total:
13
integrity:
14