Geodesic
A computation of positive one-peak posets that are Tits-sincere
Marcin Gąsiorek1 ; Daniel Simson1
1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland
Colloquium Mathematicum, Tome 127 (2012) no. 1, pp. 83-103

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $A\in {\mathbb M}_n({\mathbb Z})$ is ${\mathbb Z}$-congruent to its transpose $A^{\rm tr}$ is also discussed. An affirmative answer is given for the incidence matrices $C_I$ and the Tits matrices $\widehat C\!\!_I$ of positive one-peak posets $I$.
DOI : 10.4064/cm127-1-6
Keywords: complete list positive tits sincere one peak posets provided applying combinatorial algorithms computer calculations using maple python problem whether square integer matrix mathbb mathbb mathbb congruent its transpose discussed affirmative answer given incidence matrices tits matrices widehat positive one peak posets nbsp

Marcin Gąsiorek 1 ; Daniel Simson 1

1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland 
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Marcin Gąsiorek; Daniel Simson. A computation of positive   one-peak posets that are Tits-sincere. Colloquium Mathematicum, Tome 127 (2012) no. 1, pp. 83-103. doi: 10.4064/cm127-1-6

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