论文标题
分级2产生的轴向代数
Graded 2-generated axial algebras
论文作者
论文摘要
轴向代数是由半植物产生的非缔合代数，其伴随作用遵守融合法。由两个这样的基础产生的轴向代数在该理论中起着至关重要的作用。我们对所有原始2产生的轴向代数进行了分类，其融合法具有两个特征值和所有分级的原始2产生的轴向代数，其融合定律具有三个特征值。这代表了我们对轴向代数的理解的显着拓宽。
Axial algebras are non-associative algebras generated by semisimple idempotents whose adjoint actions obey a fusion law. Axial algebras that are generated by two such idempotents play a crucial role in the theory. We classify all primitive 2-generated axial algebras whose fusion laws have two eigenvalues and all graded primitive 2-generated axial algebras whose fusion laws have three eigenvalues. This represents a significant broadening in our understanding of axial algebras.
