Towards the classification of sincere weakly positive unit forms

DOI10.1016/0195-6698(95)90084-5zbMath0830.16013OpenAlexW2064529159MaRDI QIDQ1345521

N. S. Golovachtchuk, M. V. Zeldych, Peter Dräxler, Sergiy Ovsienko, Yuriy A. Drozd

Publication date: 28 January 1996

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0195-6698(95)90084-5

zbMATH Keywords

finite-dimensional algebrasquiversposetstame representation typeexceptional formsgood thin weakly positive unit formssincere weakly positive unit forms

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Quadratic and bilinear forms, inner products (15A63)

Related Items (6)

A Gram classification of non-negative corank-two loop-free edge-bipartite graphs ⋮ A Strong Gram Classification of Non-negative Unit Forms of Dynkin Type 𝔸r ⋮ Coxeter spectral classification of almost \(TP\)-critical one-peak posets using symbolic and numeric computations. ⋮ Structure and a Coxeter-Dynkin type classification of corank two non-negative posets. ⋮ Root systems and inflations of non-negative quasi-Cartan matrices ⋮ On Coxeter type study of non-negative posets using matrix morsifications and isotropy groups of Dynkin and Euclidean diagrams.

Cites Work

• Critical simply connected algebras
• Tame algebras and integral quadratic forms
• Schwach positive ganze quadratische Formen, die eine aufrichtige, positive Wurzel mit einem Koeffizienten 6 besitzen. (Weakly positive integral quadratic forms, having a positive sincere root with coefficient 6)
• On weakly positive unit forms
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• Algebras and Quadratic Forms
• Unnamed Item
• Unnamed Item

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