论文标题
怪物类型的无限维原始轴向代数
An infinite-dimensional 2-generated primitive axial algebra of Monster type
论文作者
论文摘要
Rehren证明，如果$α\ notin \ {2β，4β\} $，怪物类型$（α，β）$的原始2产生的轴向代数最多具有八个尺寸。在本说明中，我们在任意字段$ f $上构建了怪物类型$（2，\ frac {1} {2}）$的无限2产生的原始轴向代数（2，\ frac {1} {2}）$，带有$ char（f）\ neq 2,3 $。这表明第二种特殊情况是$α=4β$，是Rehren绑定的真实例外。
Rehren proved that a primitive 2-generated axial algebra of Monster type $(α,β)$ has dimension at most eight if $α\notin\{2β,4β\}$. In this note we construct an infinite-dimensional 2-generated primitive axial algebra of Monster type $(2,\frac{1}{2})$ over an arbitrary field $F$ with $char(F)\neq 2,3$. This shows that the second special case, $α=4β$, is a true exception to Rehren's bound.
