Hoffman-Singleton图的Majorana代数
Majorana Algebra for the Hoffman-Singleton Graph
摘要：
马约拉纳理论是由A. A. Ivanov在2009年通过196884维Conway-Griess-Norton代数研究Monster群M及其子群。群U3（5）是25阶子群M中中心化子的基柱。这个U3（5）-子群的对合是Monster中的2A-对合。因此，U3（5）具有基于Monster中嵌入的Majorana表示。我们证明了这是U3（5）的唯一Majorana表示，并计算了它的维数为798.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
