solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看213次
Modules over axial algebras. (arXiv:1704.06111v1 [math.RA])
来源于:arXiv
We introduce axial representations and modules over axial algebras as new
tools to study axial algebras. All known interesting examples of axial algebras
fall into this setting, in particular the Griess algebra whose automorphism
group is the Monster group. Our results become especially interesting for
Matsuo algebras. We vitalize the connection between Matsuo algebras and
3-transposition groups by relating modules over Matsuo algebras with
representations of 3-transposition groups. As a by-product, we define, given a
Fischer space, a group that can fulfill the role of a universal 3-transposition
group. 查看全文>>