Cartan integer
English
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
.