Noun
Cartan integer (plural Cartan integers)
(mathematics) Any of the scalar products
a
i
j
=
2
(
r
i
,
r
j
)
(
r
i
,
r
i
)
{\displaystyle a_{ij}=2{(r_{i},r_{j}) \over (r_{i},r_{i})}}
that make up the Cartan matrix of a simple Lie algebra.