Abstract
We give an algorithmic description of matrix bimodules parametrizing all indecomposable homogeneous Λ-modules with a fixed slope q over a tubular canonical algebra Λ, for all possible slopes q (Main Theorem 3.3). A crucial role in this description is played by universal extensions of bimodules and their nice properties (Theorems 3.1 and 3.2).
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Presented by Alain Verschoren
Piotr Dowbor and Andrzej Mróz are supported by the Research Grant N N201 542138 of the Polish Ministry of Science and Higher Education.
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Dowbor, P., Meltzer, H. & Mróz, A. An Algorithm for the Construction of Parametrizing Bimodules for Homogeneous Modules Over Tubular Canonical Algebras. Algebr Represent Theor 17, 357–405 (2014). https://doi.org/10.1007/s10468-013-9430-2
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DOI: https://doi.org/10.1007/s10468-013-9430-2
Keywords
- Parametrizing bimodule
- Homogeneous module
- Canonical tubular algebra
- Universal extension
- Derivation
- Weighted projective line
- Coherent sheaf
- Algorithm