3 problems

Griess-algebra dimension conjecture. In this case, the Griess algebra has the largest possible dimension among three-generated algebras of Monster type, excluding Matsuo algebras a…

Griess algebra realization conjecture. There is an OZ vertex algebra $V$ such that

Let $\mathfrak{g}$ be a simple Lie algebra, let $f$ be a nilpotent element, and set … Let $V_2$ be the weight-two Griess algebra of $V$. Griess-algebra semisimplicity conjecture. T…