论文标题
Majoraana代数为Hoffman-Singleton图
Majorana Algebra for the Hoffman-Singleton Graph
论文作者
论文摘要
Majorana理论是A. A. Ivanov于2009年推出的一种公理工具，用于通过196884年的Conway-Griess-Griess-Norton代数研究Monster组M及其亚组。 U3（5）组是第25个子组的中心设备的Socle。该U3（5） - 群中的相关性是怪物中的2a involtions。因此，U3（5）具有基于怪物中嵌入的主要表示。我们证明这是U3（5）的独特主要表示，并计算其尺寸，即798。
Majorana theory is an axiomatic tool introduced by A. A. Ivanov in 2009 for studying the Monster group M and its subgroups through the 196884-dimensional Conway-Griess-Norton algebra. The group U3(5) is the socle of the centralizer in M of a subgroup of order 25. The involutions of this U3(5)-subgroup are 2A-involutions in the Monster. Therefore, U3(5) possesses a Majorana representation based on the embedding in the Monster. We prove that this is the unique Majorana representation of U3(5), and calculate its dimension, which is 798.
