Finite-Dimensional Pointed Hopf Algebras Over Finite Simple Groups of Lie Type IV. Unipotent Classes in Chevalley and Steinberg Groups

被引：0
|
作者：
Nicolás Andruskiewitsch
Giovanna Carnovale
Gastón Andrés García
机构：
[1] Universidad Nacional de Córdoba,FaMAF
[2] CIEM – CONICET,Dipartimento di Matematica Tullio Levi
[3] Università degli Studi di Padova,Civita
[4] Universidad Nacional de La Plata,Departamento de Matemática, Facultad de Ciencias Exactas
[5] CONICET,undefined
来源：
Algebras and Representation Theory | 2020年 / 23卷
关键词：
Nichols algebra; Hopf algebra; Rack; Finite group of Lie type; Conjugacy class;
D O I：
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中图分类号：
学科分类号：
摘要：
We show that all unipotent classes in finite simple Chevalley or Steinberg groups, different from PSLn(q) and PSp2n(q), collapse (i.e. are never the support of a finite-dimensional Nichols algebra), with a possible exception on one class of involutions in PSUn(2m).
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页码：621 / 655
页数：34
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