arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2602.07556math.RA
收藏

M_{11}轴代数及其相关代数的全自同构群

Full automorphism groups of the axial algebra for $M_{11}$ and related algebras

University of Birmingham(伯明翰大学);Sobolev Institute of Mathematics(索博列夫数学研究所)

Tendai M. Mudziiri Shumba, Sergey Shpectorov

AI总结:

本文通过混合方法计算M_{11}轴代数及其相关代数的全自同构群,结合自动计算与手工证明以处理不同规模的代数结构。

摘要:

在本文中,延续arXiv:2311.18538的研究,我们计算了M_{11}的286维代数、其子代数及其他相关代数的全自同构群。这包括特别的L_2(11)的101维代数和A_6的76维代数。尽管较小的代数可通过arXiv:2311.18538中的全自动细致方法处理,但上述较大的代数需要结合计算与手工证明的混合方法。

英文摘要:

In this paper, in continuation of arXiv:2311.18538, we compute the full automorphism groups of the 286-dimensional algebra for $M_{11}$, its subalgebras and other related algebras. This includes, in particular, the 101-dimensional algebra for $L_2(11)$ and the 76-dimensional algebra for $A_6$. While smaller algebras can be handled by the fully automatic nuanced method from arXiv:2311.18538, the larger algebras, mentioned above, require a hybrid method combining computation with hand-made proofs.

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。

↑