Dennis The (UiT): On uniqueness of submaximally symmetric parabolic geometries
Channel: Centrum Fizyki Teoretycznej PAN
Date: 21/09/2021

Dennis The (UiT).
On uniqueness of submaximally symmetric parabolic geometries.
Among (regular, normal) parabolic geometries of type (G, P ), there is a locally unique maximally symmetric structure and it has symmetry dimension dim(G). The symmetry gap problem concerns the determination of the next realizable (submaximal) symmetry dimension. When G is a complex or split-real simple Lie group of rank at least three or when (G, P ) = (G 2 , P 2 ), we establish a local classification result for all submaximally symmetric structures.

GRIEG collaboration project: SCREAM workshop 2021.