partly supported by NSF of China(Grant No.11971388);partly supported by NSF of China(Grant No.12171146);partly supported by NSF of China(Grant No.12271230);partly supported by NSF of China(Grant No.12171297);the Scientific Research Funds of Huaqiao University(Grant No.605-50Y22050);the Fujian Alliance Of Mathematics(Grant No.2024SXLMMS04);the Foundation for Innovative Fundamental Research Group Project of Gansu Province(Grant No.23JRRA684)。
This paper focuses on a question raised by Holm and Jorgensen,who asked if the induced cotorsion pairs(Φ(X),Φ(X)^(⊥))and(^(⊥)Ψ(Y),Ψ(Y))in Rep(Q,A)—the category of all A-valued representations of a quiver Q—are...
We consider stable representations of non-Dynkin quivers with respect to a central charge.These attract a lot of interest in mathematics and physics since they can be identified with so-called BPS states.Another motiv...
the Science and Engineering Research Board,Department of Science and Technology,India(File No.SERB-EEQ/2021/000356);IOE,Institute of Science,Banaras Hindu University
Background Hyptis suaveolens(L.)Poit.,native to the American tropics,is a pantropical annual plant and a major invasive species throughout India.It was anticipated that the availability of sunlight,coupled with its su...
We extend the ■Hall algebra realization of ■quantum groups arising from quantum symmetric pairs,which establishes an injective homomorphism from the universal ■quantum group of Kac-Moody type to the ■Hall algebra ...
For a classical group G over a field F together with a finite-order automorphism θ that acts compatibly on F, we describe the fixed point subgroup of θ on G and the eigenspaces of θ on the Lie algebra g in terms of...
We survey various generalizations of braid groups for quivers with superpotential and focus on the cluster braid groups, which are introduced in a joint work with King (2018). Our motivations come from the study of cl...
Supported by the National Natural Science Foundation of China(Grant Nos.11671024; 11471186);the Natural Science Foundation of Beijing(Grant No.1162002)
We introduce a non-standard quantum group Xq(Bn) of type Bn which is a Hopf algebra. Then we replace the group of grouplike elements of Xq(Bn), and obtain a weak Hopf algebra wXq(Bn). Finally, we describe the Ex...
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11271318, 11571173) and the Natural Science Foundation of Zhejiang Province (No. LZ13A010001).
We give sufficient conditions and necessary conditions on duality preservability of Auslander-Reiten quivers of derived categories and cluster categories over hereditary algebras. of generalized path algebras as cleft...