Transfinite Tree Quivers and their Representations
نویسندگان
چکیده
منابع مشابه
Representations of quivers, their generalizations and invariants
This paper is a survey on invariants of representations of quivers and their generalizations such as (super)mixed representations by Zubkov, orthogonal and symplectic representations by Derksen and Weyman, and representations of signed quivers by Shmelkin. Working over a field of arbitrary characteristic we present the description of generating systems for invariants and relations between gener...
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We give an introduction to the theory of quiver representations, in its algebraic and geometric aspects. The main result is Gabriel’s theorem that characterizes quivers of finite representation type. Résumé. Nous donnons une introduction à la théorie des représentations des carquois, sous ses aspects algébrique et géométrique. Le résultat principal est le théorème de Gabriel qui caractérise les...
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noindent We have two goals in this paper. First, we investigate and construct cofree coalgebras over $n$-representations of quivers, limits and colimits of $n$-representations of quivers, and limits and colimits of coalgebras in the monoidal categories of $n$-representations of quivers. Second, for any given quivers $mathit{Q}_1$,$mathit{Q}_2$,..., $mathit{Q}_n$, we construct a new quiver $math...
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Now we proceed to study representations of quivers. We start by recalling some basic definitions and constructions such as the path algebra and indecomposable representations. Then we state a theorem of Kac that describes the dimensions, where the indecomposable representations occur as well as the number of parameters needed to describe their isomorphism classes. We will prove the Kac theorem ...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 2013
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-15232