تقرير
Quasi-biserial algebras, special quasi-biserial algebras and labeled Brauer graph algebras
| العنوان: | Quasi-biserial algebras, special quasi-biserial algebras and labeled Brauer graph algebras |
|---|---|
| المؤلفون: | Liu, Yuming, Xing, Bohan |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Representation Theory, 16D50, 16D40, 16G20 |
| الوصف: | In this paper, we define and study quasi-biserial algebras, special quasi-biserial algebras and labeled Brauer graph algebras. These algebras naturally generalize biserial and special biserial algebras to algebras of wild representation type, in a different direction of multiserial and special multiserial algebras. We show that all special quasi-biserial algebras are quasi-biserial, all special quasi-biserial algebras are quotients of symmetric special quasi-biserial algebras and all symmetric special quasi-biserial algebras are labeled Brauer graph algebras. Moreover, we show that the labeled Brauer graph algebras are derived equivalent under Kauer moves. Comment: 20 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2408.03778 |
| رقم الأكسشن: | edsarx.2408.03778 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |