Results 21 to 30 of about 2,140 (101)

Root Vectors Arising from Auslander–Reiten Quivers

Journal of Algebra, 1999
Let \(\mathfrak g\) be a semisimple Lie algebra, and \(U_q({\mathfrak g})\) its quantum enveloping algebra. Let \(\Lambda\) be the associated finite dimensional hereditary algebra over a finite field \(k\). In this paper the authors obtain a new algorithm to decompose the root vectors corresponding to preprojective and preinjective indecomposable ...
Chen, Xueqing, Xiao, Jie
openaire   +2 more sources

Degrees of irreducible morphisms in generalized standard coherent almost cyclic components [PDF]

, 2017
We study the degrees of irreducible morphisms between indecomposablemodules lying in generalized standard coherent almost cyclic componentsof Auslander-Reiten quivers of artin algebras.Fil: Chaio, Claudia Alicia.
Chaio, Claudia Alicia, Malicki, Piotr
core   +1 more source

Covering techniques in Auslander-Reiten theory [PDF]

, 2018
Given a finite dimensional algebra over a perfect field the text introduces covering functors over the mesh category of any modulated Auslander-Reiten component of the algebra.
Chaio, Claudia, Meur, Patrick Le, Trepode, Sonia   +2 more
core   +4 more sources

On uniserial modules in the Auslander–Reiten quiver

Journal of Algebra, 2008
This article begins the study of irreducible maps involving finite-dimensional uniserial modules over finite-dimensional associative algebras. We work on the classification of irreducible maps between two uniserials over triangular algebras, and give estimates for the number of middle terms of an almost split sequence with a uniserial end term.
Boldt, Axel, Mojiri, Ahmad
openaire   +3 more sources

Desingularization of quiver Grassmannians for Dynkin quivers [PDF]

, 2013
A desingularization of arbitrary quiver Grassmannians for representations of Dynkin quivers is constructed in terms of quiver Grassmannians for an algebra derived equivalent to the Auslander algebra of the quiver.Comment: 22 pages; typos corrected ...
Feigin, Evgeny, Irelli, Giovanni Cerulli, Reineke, Markus   +2 more
core   +1 more source

Cycle-finite module categories [PDF]

, 2012
We describe the structure of module categories of finite dimensional algebras over an algebraically closed field for which the cycles of nonzero nonisomorphisms between indecomposable finite dimensional modules are finite (do not belong to the infinite ...
A. Jaworska, A. Skowroński, A. Skowroński, A. Skowroński, A. Skowroński, A. Skowroński, A. Skowroński, A. Skowroński, A. Skowroński, A. Skowroński, A. Skowroński, A. Skowroński, A. Skowroński, A. Skowroński, A. Skowroński, A. Skowroński, A. Skowroński, A. Skowroński, C. M. Ringel, C. Riedtmann, D. Eisenbud, D. Happel, D. Happel, D. Happel, D. Simson, D. Simson, F. U. Coelho, G. Bobiński, G. Bobiński, G. Bobiński, G. D’Este, G. Zwara, G. Zwara, G. Zwara, H. Kraft, H. Kraft, H. Lenzing, I. Assem, I. Assem, I. Assem, I. Assem, I. Assem, I. Assem, I. Assem, I. Assem, I. Assem, I. R. Shafarevich, I. Reiten, I. Reiten, J. A. Peña de la, J. A. Peña de la, J. A. Peña de la, J. A. Peña de la, J. A. Peña de la, J. A. Peña de la, J. A. Peña de la, J. A. Peña de la, K. Bongartz, K. Bongartz, K. Bongartz, K. Bongartz, K. Bongartz, K. Bongartz, L. G. Peng, M. Auslander, M. Auslander, M. Auslander, M. Hoshino, O. Bretscher, O. Kerner, P. Malicki, P. Malicki, P. Malicki, P. Malicki, P. Malicki, P. Malicki, P. Malicki, R. Bautista, R. Bautista, S. Brenner, S. Liu, S. Liu, S. Liu, S. Liu, T. Brüstle, W. Crawley-Boevey, W. Crawley-Boevey, Y. A. Drozd, Y. Zhang   +88 more
core   +2 more sources

A geometric description of the m-cluster categories of type D_n [PDF]

, 2006
We show that the m-cluster category of type D_n is equivalent to a certain geometrically-defined category of arcs in a punctured regular nm-m+1-gon. This generalises a result of Schiffler for m=1.
Baur, Karin, Marsh, Robert J.
core   +2 more sources

Quivers with relations for symmetrizable Cartan matrices I : Foundations

, 2016
We introduce and study a class of Iwanaga-Gorenstein algebras defined via quivers with relations associated with symmetrizable Cartan matrices. These algebras generalize the path algebras of quivers associated with symmetric Cartan matrices.
Geiss, Christof, Leclerc, Bernard, Schröer, Jan   +2 more
core   +3 more sources

Ice quivers with potential arising from once-punctured polygons and Cohen-Macaulay modules [PDF]

, 2015
Given a tagged triangulation of a once-punctured polygon $P^*$ with $n$ vertices, we associate an ice quiver with potential such that the frozen part of the associated frozen Jacobian algebra has the structure of a Gorenstein $K[X]$-order $\Lambda$. Then
Demonet, Laurent, Luo, Xueyu
core   +1 more source

Algebraic modules and the Auslander–Reiten quiver

Journal of Pure and Applied Algebra, 2011
Recall that an algebraic module is a KG-module that satisfies a polynomial with integer coefficients, with addition and multiplication given by direct sum and tensor product. In this article we prove that non-periodic algebraic modules are very rare, and that if the complexity of an algebraic module is at least 3, then it is the only algebraic module ...
openaire   +2 more sources