4 citations · 9 across the 13 of their papers we have counts for
13 papers
The Hochschild cohomology groups under gluing arrows
Yuming Liu, Lleonard Rubio y Degrassi, Can Wen
In a previous paper arXiv:2211.05435 we have compared the Hochschild cohomology groups of finite dimensional monomial algebras under gluing two idempotents. In the present paper, w…
Generalized parallel paths method for computing the first Hochschild cohomology group with applications to Brauer graph algebras
Yuming Liu, Bohan Xing
We use algebraic Morse theory to generalize the parallel paths method for computing the first Hochschild cohomology groups. As an application, we describe and compare the Lie struc…
On the first Hochschild cohomology of finite dimensional quiver algebras under gluing idempotents
Yuming Liu, Lleonard Rubio y Degrassi, Can Wen
We compare the Lie algebra structures of the first Hochschild cohomology groups of a quiver algebra and a radical embedding obtained by gluing two idempotents of . Under…
Deformations and Cohomology Theory of Rota-Baxter Systems
Yuming Liu, Kai Wang, Liwen Yin
Inspired by the work of Wang and Zhou [4] for Rota-Baxter algebras, we develop a cohomology theory of Rota-Baxter systems and justify it by interpreting the lower degree cohomology…
The liftability question for stable equivalences between representation-finite self-injective algebras
Nengqun Li, Yuming Liu
Let be an algebraically closed field. It is known that any stable equivalence between standard representation-finite self-injective -algebras (without block of Loewy length…
On simple-minded systems over representation-finite self-injective algebras
Jing Guo, Yuming Liu, Yu Ye +1
Let be a representation-finite self-injective algebra over an algebraically closed field . We give a new characterization for an orthogonal system in the stable module categ…
An explicit construction of simple-minded systems over self-injective Nakayama algebras
Jing Guo, Yuming Liu, Yu Ye +1
Recently, we obtained in [7] a new characterization for an orthogonal system to be a simple-minded system in the stable module category of any representation-finite self-injective…
On simple-minded systems and -periodic modules of self-injective algebras
Aaron Chan, Yuming Liu, Zhen Zhang
Let be a finite-dimensional self-injective algebra over an algebraically closed field, a stably quasi-serial component (i.e. its stable part is a tube) of rank $n…
The Batalin-Vilkovisky structure on the Tate-Hochschild cohomology ring of a group algebra
Yuming Liu, Zhengfang Wang, Guodong Zhou
We determine the Batalin-Vilkovisky structure on the Tate-Hochschild cohomology of the group algebra of a finite group in terms of the additive decomposition. In particula…
Two questions on stable equivalences of Morita type
Yuming Liu, Guodong Zhou, Alexander Zimmermann
It is well-known that derived equivalences preserve tensor products and trivial extensions. We disprove both constructions for stable equivalences of Morita type.
Batalin-Vilkovisky structure over the Hochschild cohomology ring of a group algebra
Yu-Ming Liu, Guodong Zhou
We realize explicitly the well-known additive decomposition of the Hochschild cohomology ring of a group algebra in the elements level. As a result, we describe the cup product, th…
Simple-minded systems, configurations and mutations for representation-finite self-injective algebras
Aaron Chan, Steffen Koenig, Yuming Liu
Simple-minded systems of objects in a stable module category are defined by common properties with the set of simple modules, whose images under stable equivalences do form simple-…
Simple-minded systems in stable module categories
Steffen Koenig, Yuming Liu
Simple-minded systems in stable module categories are defined by orthogonality and generating properties so that the images of the simple modules under a stable equivalence form su…