Given a convex algebra ∧0 in the tame finite-dimensional basic algebra ∧, over an algebraically closed field, we describe a special type of restriction of the generic ∧-modules.
@article{bwmeta1.element.doi-10_2478_s11533-012-0153-0,
author = {Raymundo Bautista and Efr\'en P\'erez and Leonardo Salmer\'on},
title = {On restrictions of generic modules of tame algebras},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {423-434},
zbl = {1285.16016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0153-0}
}
Raymundo Bautista; Efrén Pérez; Leonardo Salmerón. On restrictions of generic modules of tame algebras. Open Mathematics, Tome 11 (2013) pp. 423-434. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0153-0/
[1] Assem I., Simson D., Skowronski A., Elements of the Representation Theory of Associative Algebras, 1, London Math. Soc. Stud. Texts, 65, Cambridge University Press, Cambridge, 2006 http://dx.doi.org/10.1017/CBO9780511614309[Crossref] | Zbl 1092.16001
[2] Bautista R., Pérez E., Salmerón L., On restrictions of indecomposables of tame algebras, Colloq. Math., 2011, 124(1), 35–60 http://dx.doi.org/10.4064/cm124-1-4[Crossref] | Zbl 1264.16012
[3] Bautista R., Pérez E., Salmerón L., On generically tame algebras over perfect fields, Adv. Math., 2012, 231(1), 436–481 http://dx.doi.org/10.1016/j.aim.2012.04.029[Crossref][WoS] | Zbl 1287.16019
[4] Bautista R., Salmerón L., Zuazua R., Differential Tensor Algebras and their Module Categories, London Math. Soc. Lecture Note Ser., 362, Cambridge University Press, Cambridge, 2009 http://dx.doi.org/10.1017/CBO9781139107105[Crossref] | Zbl 1266.16007
[5] Crawley-Boevey W.W., Tame algebras and generic modules, Proc. London Math. Soc., 1991, 63(2), 241–265 http://dx.doi.org/10.1112/plms/s3-63.2.241[Crossref] | Zbl 0741.16005
[6] Drozd Yu.A., Tame and wild matrix problems, In: Representations and Quadratic Forms, 154, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1979, 39–74 (in Russian)
[7] Simson D., Skowronski A., Elements of the Representation Theory of Associative Algebras, 2, London Math. Soc. Stud. Texts, 71, Cambridge University Press, Cambridge, 2007 http://dx.doi.org/10.1017/CBO9780511619403[Crossref] | Zbl 1131.16001