(Min, max)-equivalence of posets and nonnegative Tits forms

DOI10.1007/S11253-009-0147-7zbMath1224.16034OpenAlexW2001484083MaRDI QIDQ3091249

M. V. Stepochkina, Vitalij M. Bondarenko

Publication date: 8 September 2011

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://ir.znau.edu.ua/handle/123456789/8879

zbMATH Keywords

posetsnonnegative Tits forms

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Combinatorics of partially ordered sets (06A07) Representations of quivers and partially ordered sets (16G20) Quadratic and bilinear forms, inner products (15A63)

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A Gram classification of non-negative corank-two loop-free edge-bipartite graphs ⋮ One-peak posets with positive quadratic Tits form, their mesh translation quivers of roots, and programming in Maple and Python ⋮ A framework for Coxeter spectral classification of finite posets and their mesh geometries of roots. ⋮ 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. ⋮ Applications of matrix morsifications to Coxeter spectral study of loop-free edge-bipartite graphs ⋮ Inflation algorithm for loop-free non-negative edge-bipartite graphs of corank at least two ⋮ On Coxeter type study of non-negative posets using matrix morsifications and isotropy groups of Dynkin and Euclidean diagrams.

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