A334597 Dimensions of the finite-dimensional Lie algebras of type E_n (n=3,...,8).

11, 24, 45, 78, 133, 248

Offset: 3

Author

Bart Vlaar, May 07 2020

Keywords

• nonn
• fini
• full

Comments

E_3 = A_1 A_2, E_4 = A_4, E_5 = D_5.

References

• R. Carter, Lie Algebras of Finite and Affine Type, Cambridge University Press, 2005, 561-609.

Links

• Wikipedia, E_n (Lie algebra)

Crossrefs

The last three terms are the last three terms of A113907.

Formula

For n>3, a(n) = 2*A272764(n) + n (for n=3 the Lie algebra is not simple).