Last Updated
：2025/12/01
Cartan integer
Noun
Japanese Meaning
数学において、単純リー代数のカルタン行列を構成する各要素、つまり a_ij = 2(r_i, r_j) / (r_i, r_i) というスカラー積を指す。
（ plural ）
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(mathematics) Any of the scalar products a_ij=2(r_i,r_j)/(r_i,r_i) that make up the Cartan matrix of a simple Lie algebra.
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Cartan integer
The Cartan integer determines the angles between simple roots in a root system and plays a central role in classifying Lie algebras.
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The Cartan integer determines the angles between simple roots in a root system and plays a central role in classifying Lie algebras.
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