supported by Beijing Municipal Science&Technology Commission,Administrative Commission of Zhongguancun Science Park(Grant No.Z221100002722017);supported by grants from Beijing Institute of Mathematical Sciences and Applications;supported by China’s National Key R&D Programmes(Grant No.2020YFA0713000);Tsinghua University(Grant No.04200100122);Templeton Religion Trust(TRT 159);supported by Beijing Natural Science Foundation Key Program(Grant No.Z220002);supported by National Natural Science Foundation of China(Grant Nos.12031004 and 12371124)。
In this paper,we introduce Frobenius von Neumann algebras and study quantum convolution inequalities.In this framework,we unify quantum Young's inequality on quantum symmetries such as subfactors,and fusion bi-algebra...
supported by the National Natural Science Foundation of China (Grant Nos. 11601225,11871360);the Foundation for University Young Key Teacher by He’nan Education Committee (Grant No.2020GGJS079);the China Scholarship Council;supported by the Marsden Fund (of New Zealand);via award number UOA 1626
Let G be a symplectic or orthogonal group defined over a finite field with odd characteristic and let D≤G be a Sylow 2-subgroup.In this paper,we classify the essential 2-subgroups and determine the essential 2-rank o...
supported by the NSF of China(12001168,11901341,11971225,12171207);Henan University of Engineering(DKJ2019010);the Key Research Project of Education Department of Henan Province(21A110006);Youth Innovation Team of Universities of Shandong Province(2022KJ314).
Let T be a triangulated category with a proper classξof triangles.We introduce the notions of left Frobenius pairs,left(n-)cotorsion pairs and left(weak)Auslander-Buchweitz contexts with respect toξin T.We show how ...
In[Frobenius Categories Versus Brauer Blocks,Progress in Math.,274]and in[Ordinary Grothendieck groups of a Frobenius P-category,Algebra Colloq.18(2011)1-76],we consider suitable inverse limits of Grothendieck groups ...