Augustinas Malinauskas

Conjecture 7 follows from the classical character-generating-function method of Patera and Sharp, reviewed by N. Okeke and M. A. Walton, On character generators for simple Lie alge…

Proof of Conjecture 4.7 in finite dimension.

Proof. For $n>5$, use the matrix $D=\mathfrak D_2(P_n)[B,B]$ from Remark 23 of the source paper, where