论文标题
从八元到构图超级张张张量类别
From octonions to composition superalgebras via tensor categories
论文作者
论文摘要
仅在特征3中存在的尺寸3和6的非平凡的Unital组成超代桥是通过半像像化的过程中从裂缝的Cayley代数及其命令中获得的，该阶段的序列是对称性张力的一定特定特定特定特定特征的特定特定特定特定特定特征的特定特定特定特定特定特定特定特定特定特征的特定特定特定特定特征的魔术，从也讨论了这种特征的内容。在此过程中，给出了从该张量类别中的（非缔合）代数的精确配方到相应的超级代数。
The nontrivial unital composition superalgebras, of dimension 3 and 6, which exist only in characteristic 3, are obtained from the split Cayley algebra and its order 3 automorphisms, by means of the process of semisimplification of the symmetric tensor category of representations of the cyclic group of order 3. Connections with the extended Freudenthal Magic Square in characteristic 3, that contains some exceptional Lie superalgebras specific of this characteristic are discussed too. In the process, precise recipes to go from (nonassociative) algebras in this tensor category to the corresponding superalgebras are given.
