14 citations · 44 across the 15 of their papers we have counts for
16 papers
On bricks of one-point extension algebras
Qi Wang
Let be the one-point extension algebra of by the extension module . Using the standard triple description of -modules, we characterize mixed bricks through an in…
Representation type of cyclotomic quiver Hecke algebras of type
Susumu Ariki, Linliang Song, Qi Wang
We first investigate a connected quiver consisting of all dominant maximal weights for an integrable highest weight module in affine type A. This quiver provides an efficient metho…
On -tilting finiteness of symmetric algebras of polynomial growth
Kengo Miyamoto, Qi Wang
In this paper, we report on the -tilting finiteness of some classes of finite-dimensional algebras over an algebraically closed field, including symmetric algebras of polynomial…
A symmetry of silting quivers
Takuma Aihara, Qi Wang
We investigate symmetry of the silting quiver of a given algebra which is induced by an anti-automorphism of the algebra. In particular, one shows that if there is a primitive idem…
On -tilting modules over trivial extensions of gentle tree algebras
Qi Wang, Yingying Zhang
We show that trivial extensions of gentle tree algebras are exactly Brauer tree algebras without exceptional vertex. We also give a characterization for the algebras whose trivial…
A complete classification of -tilting finite Schur algebras
Toshitaka Aoki, Qi Wang
In this paper, we determine the -tilting finiteness for some blocks of classical Schur algebras. Combining with the results in arXiv:2010.05206, we get a complete classification…
Representation-finite tensor product of simply connected algebras
Kengo Miyamoto, Qi Wang
We determine the representation-finiteness of , where both and are simply connected algebras with at least three simple modules.
On -tilting finiteness of the Schur algebra
Qi Wang
We determined the -tilting finiteness of Schur algebras over an algebraically closed field of arbitrary characteristic, except for a few small cases.
Pre-Lie analogues of Poisson-Nijenhuis structures and Maurer-Cartan equations
Jiefeng Liu, Qi Wang
In this paper, we study pre-Lie analogues of Poisson-Nijenhuis structures and introduce ON-structures on bimodules over pre-Lie algebras. We show that an ON-structure gives rise to…
Koszul-Vinberg structures and compatible structures on left-symmetric algebroids
Qi Wang, Jiefeng Liu, Yunhe Sheng
In this paper, we introduce the notion of Koszul-Vinberg-Nijenhuis structures on a left-symmetric algebroid as analogues of Poisson-Nijenhuis structures on a Lie algebroid, and sho…
Report on the finiteness of silting objects
Takuma Aihara, Takahiro Honma, Kengo Miyamoto +1
We discuss the finiteness of (two-term) silting objects. First, we investigate new triangulated categories without silting object. Second, one studies two classes of -tilting-fi…
On -tilting finite simply connected algebras
Qi Wang
We show that -tilting finite simply connected algebras are representation-finite. Then, some related algebras are considered, including iterated tilted algebras, tubular algebra…
-tilting finiteness of two-point algebras I
Qi Wang
As the first attempt to classify -tilting finite two-point algebras, we have determined the -tilting finiteness for minimal wild two-point algebras and some tame two-point al…
Nijenhuis operators on pre-Lie algebras
Qi Wang, Chengming Bai, Jiefeng Liu +1
First we use a new approach to give a graded Lie algebra whose Maurer-Cartan elements characterize pre-Lie algebra structures. Then using this graded Lie bracket we define the noti…
On non-abelian extensions of Leibniz algebras
Jiefeng Liu, Yunhe Sheng, Qi Wang
In this paper, first we classify non-abelian extensions of Leibniz algebras by the second non-abelian cohomology. Then, we construct Leibniz 2-algebras using derivations of Leibniz…
On the size of Kakeya sets in finite vector spaces
Gohar Kyureghyan, Peter Müller, Qi Wang
For a finite field GF(q) a Kakeya set K is a subset of GF(q)^n that contains a line in every direction. This paper derives new upper bounds on the minimum size of Kakeya sets when…