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Representation type of nodal algebras of type \(D\). (English. Ukrainian original) Zbl 1312.16010

Ukr. Math. J. 66, No. 7, 1037-1047 (2014); translation from Ukr. Mat. Zh. 66, No. 7, 930-938 (2014).
Introduction: The present paper is a continuation of the paper [the authors, Algebra Discrete Math. 15, No. 2, 179-200 (2013)] in which nodal algebras are introduced and the representation types (finite, tame, or wild) of nodal algebras of type \(A\), i.e., algebras obtained by blowing up and gluing of quivers of type \(A\) (or of type \(\widetilde A\)) are established. In the present paper, we determine the representation types of nodal algebras of type \(D\), i.e., algebras obtained by blowing up and gluing of quivers of type \(D\) (or \(\widetilde D\)) that are not nodal algebras of type \(A\).

MSC:

16G60 Representation type (finite, tame, wild, etc.) of associative algebras
16G20 Representations of quivers and partially ordered sets
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References:

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