论文标题
简单划伤的雪佛兰组的非缔合弗罗贝尼乌斯代数
Non-associative Frobenius algebras for simply laced Chevalley groups
论文作者
论文摘要
我们为每一个简单的简单类型的简单的雪佛莉组提供一类明确的结构。此外，我们为这些代数配备了一种相关的双线性形式，将它们变成了Frobenius代数。该类包括一个3876维代数，雪佛兰E8型通过自动形态行为。我们还证明，这些代数允许（轴向）分解代数的结构。
We provide an explicit construction for a class of commutative, non-associative algebras for each of the simple Chevalley groups of simply laced type. Moreover, we equip these algebras with an associating bilinear form, which turns them into Frobenius algebras. This class includes a 3876-dimensional algebra on which the Chevalley group of type E8 acts by automorphisms. We also prove that these algebras admit the structure of (axial) decomposition algebras.
