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

11, 24, 45, 78, 133, 248

Offset

3,1

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

Table of n, a(n) for n=3..8.

Wikipedia, E_n (Lie algebra)

Formula

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

Crossrefs

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

Sequence in context: A274620 A053061 A055820 * A114167 A108302 A182689

Adjacent sequences: A334594 A334595 A334596 * A334598 A334599 A334600

Keyword

nonn,fini,full

Author

Bart Vlaar, May 07 2020

Status

approved