Constructing the directing components of an algebra
J. de la Peña, M. Takane (1997)
Colloquium Mathematicae
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J. de la Peña, M. Takane (1997)
Colloquium Mathematicae
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Grzegorz Bobiński, Andrzej Skowroński (1999)
Colloquium Mathematicae
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Otto Kerner (1997)
Colloquium Mathematicae
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Stroppel, Catharina (2003)
Journal of Lie Theory
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Grzegorz Bobiński, Christof Geiß, Andrzej Skowroński (2004)
Open Mathematics
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The main aim of the paper is to classify the discrete derived categories of bounded complexes of modules over finite dimensional algebras.
Grzegorz Bobiński, Andrzej Skowroński (2003)
Open Mathematics
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In continuation of our earlier work [2] we describe the indecomposable representations and the Auslander-Reiten quivers of a family of vector space categories playing an important role in the study of domestic finite dimensional algebras over an algebraically closed field. The main results of the paper are applied in our paper [3] where we exhibit a wide class of almost sincere domestic simply connected algebras of arbitrary large finite global dimensions and describe their Auslander-Reiten...
Beligiannis, Apostolos, Krause, Henning (2003)
Beiträge zur Algebra und Geometrie
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Andrzej Skowroński, Grzegorz Zwara (1997)
Colloquium Mathematicae
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Singh, Surjeet, Al-Bleehed, Hind (2004)
Beiträge zur Algebra und Geometrie
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Christof Geiß, Bernard Leclerc, Jan Schröer (2008)
Annales de l’institut Fourier
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Let be a preprojective algebra of type , and let be the corresponding semisimple simply connected complex algebraic group. We study rigid modules in subcategories for an injective -module, and we introduce a mutation operation between complete rigid modules in . This yields cluster algebra structures on the coordinate rings of the partial flag varieties attached to .