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math.QA2024
Classifying Nichols algebras over classical Weyl groups
Weicai Wu, Panyue Zhou
In this article, we show that conjugacy classes of classical Weyl groups and are of . Consequently, we obtain that Nichols algebras of irredu…
math.RT2024
Relative cluster tilting theory and -tilting theory
Yu Liu, Jixing Pan, Panyue Zhou
Let be a Krull-Schmidt triangulated category with shift functor and be a rigid subcategory of . We are concerned with the mutation of tw…
math.RT2024
Hereditary -exangulated categories
Jian He, Jing He, Panyue Zhou
Herschend-Liu-Nakaoka introduced the concept of -exangulated categories as higher-dimensional analogues of extriangulated categories defined by Nakaoka-Palu. The class of -ex…