تقرير
Nichols algebras over groups with finite root system of rank two III
| العنوان: | Nichols algebras over groups with finite root system of rank two III |
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| المؤلفون: | Heckenberger, I., Vendramin, L. |
| المصدر: | J. Algebra 422 (2015), 223--256 |
| سنة النشر: | 2013 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, Mathematics - Rings and Algebras, 17B37, 16W30, 20F55 |
| الوصف: | We compute the finite-dimensional Nichols algebras over the sum of two simple Yetter-Drinfeld modules V and W over non-abelian quotients of a certain central extension of the dihedral group of eight elements or SL(2,3), and such that the Weyl groupoid of the pair (V,W) is finite. These central extensions appear in the classification of non-elementary finite-dimensional Nichols algebras with finite Weyl groupoid of rank two. We deduce new information on the structure of primitive elements of finite-dimensional Nichols algebras over groups. Comment: 30 pages. Title has changed. Final version. Accepted for publication in Journal of Algebra |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.jalgebra.2014.09.013 |
| URL الوصول: | http://arxiv.org/abs/1309.4634 |
| رقم الأكسشن: | edsarx.1309.4634 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.jalgebra.2014.09.013 |
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