Axial algebras, graphs and their automorphism groups.
报告人：IIya, Gorshkov（Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia)
时间：2025-12-18 14:30-15:30
地点：智华楼412
Abstract. Axial algebras are a class of non-associative commutative algebras whose properties are defined in terms of a fusion law. When this fusion law is 2-graded, the algebra has a naturally associated automorphism group generated by involutions, and thus axial algebras are related to the theory of finite simple groups. Examples of axial algebras include finite-dimensional simple Jordan algebras and the Grice algebra. In this talk, we generalize the theory of axial algebras and construct graphs whose automorphism
groups are finite almost simple groups.
