A computation of positive one-peak posets that are Tits-sincere

• Autorzy: Marcin Gąsiorek , Daniel Simson
• Języki publikacji: EN

Abstrakty

EN

A complete list of positive Tits-sincere one-peak posets is provided by applying combinatorial algorithms and computer calculations using Maple and Python. The problem whether any square integer matrix $A ∈ 𝕄 ₙ(ℤ)$ is ℤ-congruent to its transpose $A^{tr}$ is also discussed. An affirmative answer is given for the incidence matrices $C_{I}$ and the Tits matrices $Ĉ_{I}$ of positive one-peak posets I.

Kategorie tematyczne

• 05C50: Graphs and linear algebra (matrices, eigenvalues, etc.)
• 16G20: Representations of quivers and partially ordered sets
• 15A63: Quadratic and bilinear forms, inner products \SeeMainly{}
• 06A11: Algebraic aspects of posets
• 06A07: Combinatorics of partially ordered sets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2012
• Tom: 127
• Numer: 1
• Strony: 83-103

Daty

wydano

2012

Twórcy

autor

Marcin Gąsiorek

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

Daniel Simson

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/cm127-1-6