Finite-dimensional pointed Hopf algebras over finite 3 simple groups of Lie type V. Mixed classes in Chevalley 4 and Steinberg groups

被引：5
作者：
Andruskiewitsch, Nicolas [1 ]
Carnovale, Giovanna [2 ]
Garcia, Gaston Andres [3 ]
机构：
[1] Univ Nacl Cordoba, CIEM CONICET, FAMAF, Medina Allende S-N,Ciudad Univ, RA-5000 Cordoba, Argentina
[2] Univ Padua, Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, Italy
[3] Univ Nacl La Plata, Fac Ciencias Exactas, Dept Matemat, CONICET, CC 172, RA-1900 La Plata, Argentina
来源：
MANUSCRIPTA MATHEMATICA | 2021年 / 166卷 / 3-4期
关键词：
CONJUGACY CLASSES;
D O I：
10.1007/s00229-020-01248-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that all classes that are neither semisimple nor unipotent in finite simple Chevalley or Steinberg groups different from PSLn(q) collapse (i.e. are never the support of a finite-dimensional Nichols algebra). As a consequence, we prove that the only finite-dimensional pointed Hopf algebra whose group of group-like elements is PSp(2n)(q), P Omega(+)(4n)(q), P Omega(-)(4n)(q), D-3(4)(q), E-7(q), E-8(q), F-4(q), or G(2)(q) with q even is the group algebra.
引用
收藏
页码：605 / 647
页数：43
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