论文标题
特殊谎言代数的伴随表示形式的三价类别
Trivalent Categories for Adjoint Representations of Exceptional Lie Algebras
论文作者
论文摘要
我们考虑通用关键，对称，单型，$ \ bbbk $ - 线性类别，由具有偏斜对称乘法的Schurian对象生成，并研究了一些商。我们表明，这些商产生了矢量产品代数或特殊谎言代数的表示类别。
We consider the universal pivotal, symmetric, monoidal, $\Bbbk$-linear category, generated by a Schurian object with a skew-symmetric multiplication, and study some of its quotients. We show that these quotients give rise to either vector product algebras or representation categories of exceptional Lie algebras.
