تقرير
Coradically graded Hopf algebras with the dual Chevalley property of tame corepresentation type
| العنوان: | Coradically graded Hopf algebras with the dual Chevalley property of tame corepresentation type |
|---|---|
| المؤلفون: | Yu, Jing, Liu, Gongxiang |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, Mathematics - Rings and Algebras, Mathematics - Representation Theory, 16T05, 16G60 (primary), 16G20, 16G10 (secondary) |
| الوصف: | Let $\Bbbk$ be an algebraically closed field of characteristic 0 and $H$ a finite-dimensional Hopf algebra over $\Bbbk$ with the dual Chevalley property. In this paper, we show that $\operatorname{gr}^c(H)$ is of tame corepresentation type if and only if $\operatorname{gr}^c(H)\cong (\Bbbk\langle x,y\rangle/I)^* \times H^\prime$ for some finite-dimensional semisimple Hopf algebra $H^\prime$ and some special ideals $I$. Then, by the method of link quiver and bosonization, we discuss which of the above ideals will occur when $(\Bbbk\langle x,y\rangle/I)^* \times H_0$ is a Hopf algebra of tame corepresentation type under some assumptions. Comment: arXiv admin note: substantial text overlap with arXiv:2308.09553 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.21389 |
| رقم الأكسشن: | edsarx.2407.21389 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |