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E7 (mathematics)
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E7 (mathematics)

In mathematics, E7 is the name of a Lie group and also its Lie algebra. It is one of the five exceptional simple Lie groups as well as one of the simply laced groups. E7 has rank 7 and dimension 133. The dimensional of its fundamental representation is 56.

Algebra

Dynkin diagram

Cartan matrix

Exceptional Lie groups
E6 > E7 | E8 | F4 | G2

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