OFFSET
1,1
COMMENTS
REFERENCES
N. Bourbaki, Lie Groups and Lie Algebras, Chapters 4-6, Springer, 1968, 231-233.
LINKS
Andy Huchala, Table of n, a(n) for n = 1..20000
Andy Huchala, C++ program
Wikipedia, G2 (mathematics)
FORMULA
Given a vector of 2 nonnegative integers, the Weyl dimension formula tells you the dimension of the corresponding irreducible representation. The list of such dimensions is then sorted numerically and duplicates recorded.
EXAMPLE
With the fundamental weights numbered as in Bourbaki, the highest weights 3,0 and 0,2 both correspond to irreducible representations of dimension 77. The highest weights 2,3 and 8,0 both correspond to irreducible representations of dimension 2079.
CROSSREFS
KEYWORD
nonn
AUTHOR
Andy Huchala, Nov 28 2020
STATUS
approved