Zobrazeno 1 - 10
of 660
pro vyhledávání: '"16G60"'
Autor:
Liu, Yu-Zhe, Zhou, Panyue
For any arbitrary string almost gentle algebra, we consider specific subsets of its quiver's arrow set, denoted by $\mathcal{R}$. For each such $\mathcal{R}$, we introduce the finitely generated module $M_{\mathcal{R}}$ and define its associated $\ma
Externí odkaz:
http://arxiv.org/abs/2411.03690
Autor:
Gallup, Nathaniel, Sawin, Stephen
We prove a version of Gabriel's theorem for locally finite-dimensional representations of infinite quivers. Specifically, we show that if $\Omega$ is any connected quiver, the category of locally finite-dimensional representations of $\Omega$ has uni
Externí odkaz:
http://arxiv.org/abs/2410.10055
Autor:
Yu, Jing, Liu, Gongxiang
We try to classify Hopf algebras with the dual Chevalley property of discrete corepresentation type over an algebraically closed field $\Bbb{k}$ with characteristic 0. For such Hopf algebra $H$, we characterize the link quiver of $H$ and determine th
Externí odkaz:
http://arxiv.org/abs/2409.20292
Autor:
Speyer, Liron
We prove that all wild blocks of type $A$ Hecke algebras with quantum characteristic $e \geqslant 3$ -- i.e. blocks of weight at least $2$ -- are strictly wild, with the possible exception of the weight $2$ Rouquier block for $e = 3$. As a corollary,
Externí odkaz:
http://arxiv.org/abs/2408.16477
Let $K$ be a field, $R=K[x, y]$ the polynomial ring and $\mathcal{M}(K)$ the set of all pairs of square matrices of the same size over $K.$ Pairs $P_1=(A_1,B_1)$ and $P_2=(A_2,B_2)$ from $\mathcal{M}(K)$ are called similar if $A_2=X^{-1}A_1X$ and $B_
Externí odkaz:
http://arxiv.org/abs/2408.04244
Autor:
Yu, Jing, Liu, Gongxiang
Let $\Bbbk$ be an algebraically closed field of characteristic 0 and $H$ a finite-dimensional Hopf algebra over $\Bbbk$ with the dual Chevalley property. In this paper, we show that $\operatorname{gr}^c(H)$ is of tame corepresentation type if and onl
Externí odkaz:
http://arxiv.org/abs/2407.21389
Autor:
Mousavand, Kaveh, Paquette, Charles
For finite dimensional algebras over algebraically closed fields, we study the sets of pairwise Hom-orthogonal modules and obtain new results on some open conjectures on the behaviour of bricks and several related problems, which we generally refer t
Externí odkaz:
http://arxiv.org/abs/2407.20877
New bivariate Griffiths polynomials of $q$-Racah type are introduced and characterized. They generalize the polynomials orthogonal on the multinomial distribution introduced by R. Griffiths fifty years ago. They also correspond to a $q$-deformation o
Externí odkaz:
http://arxiv.org/abs/2407.17016
Autor:
Hiramatsu, Naoya
We introduce an analog of the Ziegler spectrum for maximal Cohen-Macaulay modules over a complete Cohen-Macaulay local ring. We define a topology on the space of isomorphism classes of indecomposable maximal Cohen-Macaulay modules and investigate the
Externí odkaz:
http://arxiv.org/abs/2407.16913
We show that for any finite-dimensional algebra $\Lambda$ of infinite representation type, over a perfect field, there is a bounded principal ideal domain $\Gamma$ and a representation embedding from $\Gamma -$mod into $\Lambda -$mod. As an applicati
Externí odkaz:
http://arxiv.org/abs/2406.03370