论文标题
Dyson的分类和真正的分层超级甲骨
Dyson's Classification And Real Division Superalgebras
论文作者
论文摘要
众所周知，可以在3倍分类方案中将群体的单一不可约形表示分类：真实，复杂，Quaternionic。 1962年，弗里曼·戴森（Freeman Dyson）指出，涉及统一和反独立运营商的群体的不可还原表现形式有类似的10倍分类。最近，人们意识到还有一个涉及超级代数的10倍分类方案。在这里，我们仔细证明了这两个10倍方式的等效性。
It is well-known that unitary irreducible representations of groups can be usefully classified in a 3-fold classification scheme: Real, Complex, Quaternionic. In 1962 Freeman Dyson pointed out that there is an analogous 10-fold classification of irreducible representations of groups involving both unitary and antiunitary operators. More recently it was realized that there is also a 10-fold classification scheme involving superdivision algebras. Here we give a careful proof of the equivalence of these two 10-fold ways.
