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pro vyhledávání: '"LIU, Yuming"'
Autor:
Liu, Yuming, Xing, Bohan
By giving some equivalent definitions of fractional Brauer configuration algebras of type S in some special cases, we construct a fractional Brauer configuration algebra from any monomial algebra. We show that this algebra is isomorphic to the trivia
Externí odkaz:
http://arxiv.org/abs/2408.02537
Autor:
Li, Nengqun, Liu, Yuming
In 2017, Green and Schroll introduced a generalization of Brauer graph algebras which they call Brauer configuration algebras. In the present paper, we further generalize Brauer configuration algebras to fractional Brauer configuration algebras by ge
Externí odkaz:
http://arxiv.org/abs/2406.11468
As a generalization of the classical killing-contractible-complexes lemma, we present algebraic Morse theory via homological perturbation lemma, in a form more general than existing presentations in the literature. Two-sided Anick resolutions due to
Externí odkaz:
http://arxiv.org/abs/2404.10165
Let $G$ be a Brauer graph and $A$ the associated Brauer graph algebra. Denote by $gr(A)$ the graded algebra associated with the radical filtration of $A$. The question when $gr(A)$ is of finite representation type was answered in [9]. In the present
Externí odkaz:
http://arxiv.org/abs/2403.06684
Autor:
Liu, Yuming, Xing, Bohan
In this paper, we summarize a general method of transforming DG structures into higher structures on the various complexes related to the reduced bar resolution of a given quiver algebra using algebraic Morse theory. As an application, we describe th
Externí odkaz:
http://arxiv.org/abs/2401.06429
Publikováno v:
Engineering, Construction and Architectural Management, 2023, Vol. 31, Issue 9, pp. 3599-3621.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/ECAM-10-2022-1021
Autor:
Li, Nengqun, Liu, Yuming
We give a unified generalization of Dugas' construction on stable auto-equivalences of Morita type from local symmetric algebras to arbitrary symmetric algebras. For group algebras $kP$ of $p$-groups in characteristic $p$, we recover all the stable a
Externí odkaz:
http://arxiv.org/abs/2310.13934
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, we compare the Hochschild cohomology groups of finite dimensional monom
Externí odkaz:
http://arxiv.org/abs/2307.08057
Autor:
Liu, Yuming, Xing, Bohan
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 structures of the first Hochschild cohomology groups of Brauer graph algebr
Externí odkaz:
http://arxiv.org/abs/2306.14372
We compare the first Hochschild cohomology groups of finite dimensional monomial algebras under gluing two idempotents. We also compare the fundamental groups and the Hochschild cohomology groups in other degrees. In particular, we will study the cas
Externí odkaz:
http://arxiv.org/abs/2211.05435