تقرير
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type V. Mixed classes in Chevalley and Steinberg groups
| العنوان: | Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type V. Mixed classes in Chevalley and Steinberg groups |
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| المؤلفون: | Andruskiewitsch, Nicolás, Carnovale, Giovanna, García, Gastón Andrés |
| المصدر: | Manuscripta Mathematica 163, (3-4), 2020 |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, Mathematics - Group Theory, 16T05, 20D06 |
| الوصف: | We show that all classes that are neither semisimple nor unipotent in finite simple Chevalley or Steinberg groups different from $PSL_n(q)$ 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 $PSp_{2n}(q)$, $P\Omega^+_{4n}(q)$, $P\Omega^-_{4n}(q)$, $^3D_4(q)$, $E_7(q)$, $E_8(q)$, $F_4(q)$, or $G_2(q)$ with q even is the group algebra. Comment: Use of CHEVIE for dealing with E6 is introduced. For explicit calculations see version 2. Further minor corrections |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s00229-020-01248-5 |
| URL الوصول: | http://arxiv.org/abs/1812.11566 |
| رقم الأكسشن: | edsarx.1812.11566 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s00229-020-01248-5 |
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