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Cartan integer
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English
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Noun
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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
.