Partitions of the wonderful group compactification
Jiang-Hua Lu, Milen Yakimov
Abstract
We define and study a family of partitions of the wonderful compactification G of a semi-simple algebraic group G of adjoint type. The partitions are obtained from subgroups of G × G associated to triples (A1, A2, a), where A1 and A2 are subgraphs of the Dynkin graph Γof G and a : A1 A2 is an isomorphism. The partitions of G of Springer and Lusztig correspond respectively to the triples (, , ) and (Γ, Γ, ).
Create a lesson
Related papers
Noncommutative Cluster Varieties and Moduli Spaces of Local Systems
Zachary Greenberg, Dani Kaufman, Merik Niemeyer et al.
The Saito determinant for extended affine Weyl discriminant strata
Andrea Brini, Karoline van Gemst
Unitary Shimura Correspondence for Complex Classical Groups
Wan-Yu Tsai, Kayue Daniel Wong, Hongfeng Zhang
An enhanced Helgason-Johnson bound for Sp(p, q)
Zhan Ying, Chao-Ping Dong
Auslander-Reiten (n+2)-angles and local finiteness
Jian He, Yu-Zhe Liu, Panyue Zhou
A σ-McKay theorem for π-separable groups
David Cabrera-Berenguer