On Hom-spaces of tame algebras
Raymundo Bautista ; Yuriy Drozd ; Xiangyong Zeng ; Yingbo Zhang
Open Mathematics, Tome 5 (2007), p. 215-263 / Harvested from The Polish Digital Mathematics Library
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Let Λ be a finite dimensional algebra over an algebraically closed field k and Λ has tame representation type. In this paper, the structure of Hom-spaces of all pairs of indecomposable Λ-modules having dimension smaller than or equal to a fixed natural number is described, and their dimensions are calculated in terms of a finite number of finitely generated Λ-modules and generic Λ-modules. In particular, such spaces are essentially controlled by those of the corresponding generic modules.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:269417 
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     author = {Raymundo Bautista and Yuriy Drozd and Xiangyong Zeng and Yingbo Zhang},
     title = {On Hom-spaces of tame algebras},
     journal = {Open Mathematics},
     volume = {5},
     year = {2007},
     pages = {215-263},
     zbl = {1170.16008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-007-0002-8}
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Raymundo Bautista; Yuriy Drozd; Xiangyong Zeng; Yingbo Zhang. On Hom-spaces of tame algebras. Open Mathematics, Tome 5 (2007) pp. 215-263. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-007-0002-8/

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