OFFSET
1,1
COMMENTS
Terms which would appear in A121737 eight times or more if it included repeats.
There are infinitely many terms in this sequence; see A181746. For example, 548418186007940753739828795801600 = 2^36 * 7980534952482277785600, and additional dimensions may be obtained by replacing 2^36 with n^36 for any positive integer n.
REFERENCES
N. Bourbaki, Lie groups and Lie algebras, Chapters 4-6, Springer, 2002.
J. E. Humphreys, Introduction to Lie algebras and representation theory, Springer, 1997.
LINKS
Andy Huchala, Table of n, a(n) for n = 1..12
Andy Huchala, C++ Program
EXAMPLE
With fundamental weights as ordered in Bourbaki, the eight irreducible E6 representations with dimension 7980534952482277785600 have highest weights as follows:
[ 1, 5, 2, 5, 0, 7]
[ 7, 5, 0, 5, 2, 1]
[ 5, 7, 2, 3, 2, 1]
[ 1, 7, 2, 3, 2, 5]
[ 1, 5, 6, 1, 0,11]
[11, 5, 0, 1, 6, 1]
[ 4, 5, 3, 1, 0,14]
[14, 5, 0, 1, 3, 4]
CROSSREFS
KEYWORD
nonn
AUTHOR
Andy Huchala, Apr 09 2021
STATUS
approved