Diagrams for varieties of minimal rational tangents on the wonderful symmetric varieties

Autor:	Kim, Shin-young
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry Mathematics - Representation Theory 14H10 14M27
Druh dokumentu:	Working Paper
Popis:	We describe varieties of minimal rational tangents on the wonderful symmetric varieties by marked Dynkin diagrams. An irreducible component of a variety of minimal rational tangents is a rational homogeneous space, and hence, we have a corresponding marked Dynkin diagram expression. On the other hand, we have marked Dynkin diagrams from the marked Kac diagram of a irreducible symmetric space by marking adjacent nodes to the marked node. We note that the above two diagrams coincide when the restricted root system is not of type A. Comment: 12 page, 8 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.10242 Zobrazit plný text záznamu View this record from Arxiv