Parametrizations for integral slope homogeneous modules over tubular canonical algebras
P Dowbor, H Meltzer, A Mróz - Algebras and Representation Theory, 2014 - Springer
P Dowbor, H Meltzer, A Mróz
Algebras and Representation Theory, 2014•SpringerWe give a description of matrix bimodules parametrizing all indecomposable homogeneous
Λ-modules with a fixed integral slope over a tubular canonical algebra Λ, for all possible
integers (Theorem 4.1). An important role in the first step of this description (Theorem 2.4) is
played by the translation of the shift functor for coherent sheaves over the associated
weighted projective line to the language of Λ-modules (Theorem 3.2).
Λ-modules with a fixed integral slope over a tubular canonical algebra Λ, for all possible
integers (Theorem 4.1). An important role in the first step of this description (Theorem 2.4) is
played by the translation of the shift functor for coherent sheaves over the associated
weighted projective line to the language of Λ-modules (Theorem 3.2).
Abstract
We give a description of matrix bimodules parametrizing all indecomposable homogeneous Λ-modules with a fixed integral slope over a tubular canonical algebra Λ, for all possible integers (Theorem 4.1). An important role in the first step of this description (Theorem 2.4) is played by the translation of the shift functor for coherent sheaves over the associated weighted projective line to the language of Λ-modules (Theorem 3.2).
Springer
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