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

Marcin Gąsiorek; Daniel Simson

Colloquium Mathematicae, Tome 126 (2012), p. 83-103 / Harvested from The Polish Digital Mathematics Library

Résumé

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 $A \in ₙ (ℤ)$ is ℤ-congruent to its transpose $A^{t r}$ is also discussed. An affirmative answer is given for the incidence matrices $C_{I}$ and the Tits matrices $C ̂_{I}$ of positive one-peak posets I.

Publié le : 2012-01-01

Zbl 1260.06005

EUDML-ID : urn:eudml:doc:286171

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     title = {A computation of positive one-peak posets that are Tits-sincere},
     journal = {Colloquium Mathematicae},
     volume = {126},
     year = {2012},
     pages = {83-103},
     zbl = {1260.06005},
     language = {en},
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Marcin Gąsiorek; Daniel Simson. A computation of positive one-peak posets that are Tits-sincere. Colloquium Mathematicae, Tome 126 (2012) pp. 83-103. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-1-6/