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REPRESENTATIONS OF QUIVERS OF INFINITE TYPE
Mathematics of the USSR-Izvestiya, 1973Summary: Translation from Izv. Akad. Nauk SSSR, Ser. Mat. 37, 752--791 (1973; Zbl 0298.15012).
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2018
A quiver is a finite directed graph. The associated path algebra has all paths of the quiver as a basis, and the multiplication is defined in terms of concatenating paths when possible. We have seen representations of a quiver earlier, and we also have seen how to relate representations of a quiver to modules for its path algebra.
Karin Erdmann, Thorsten Holm
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A quiver is a finite directed graph. The associated path algebra has all paths of the quiver as a basis, and the multiplication is defined in terms of concatenating paths when possible. We have seen representations of a quiver earlier, and we also have seen how to relate representations of a quiver to modules for its path algebra.
Karin Erdmann, Thorsten Holm
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2014
In this chapter, we introduce the concept of quiver representations and their morphisms, discuss direct sums, kernels, and cokernels, and study short exact sequences of quiver representations. We also introduce some basic notions of category theory.
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In this chapter, we introduce the concept of quiver representations and their morphisms, discuss direct sums, kernels, and cokernels, and study short exact sequences of quiver representations. We also introduce some basic notions of category theory.
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1982
This chapter introduces another aspect of the current research on representation of algebras. This Une of work began with the papers [34] and [35] of P. Gabriel. He gave an explicit construction of the indecomposable modules for certain finite dimensional F-algebras.
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This chapter introduces another aspect of the current research on representation of algebras. This Une of work began with the papers [34] and [35] of P. Gabriel. He gave an explicit construction of the indecomposable modules for certain finite dimensional F-algebras.
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Semistable representations of quivers with automorphism
Science China Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Subrepresentations of General Representations of Quivers
Bulletin of the London Mathematical Society, 1996We use the Schubert calculus to extend \textit{A. Schofield}'s result about general representations of quivers [Proc. Lond. Math. Soc., III. Ser. 65, No. 1, 46-64 (1992; Zbl 0795.16008)] from the case when the base field has characteristic zero to arbitrary characteristic.
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COTORSION REPRESENTATIONS OF QUIVERS
Communications in Algebra, 2001It is known that for any quiver Q, the category of representations by modules of Q has enough projectives. An algorithm has been described which provides an easy way for finding a projective representation of a given quiver Q. Furthermore the projective representations obtained by applying this algorithm generate the whole category of representations ...
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Cell decompositions and algebraicity of cohomology for quiver Grassmannians
Advances in Mathematics, 2021Giovanni Cerulli Irelli +2 more
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On Quiver Representations over $\mathbb {F}_{1}$
Algebras and Representation Theory, 2021Alexander Sistko
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