Geodesic
A computation of positive one-peak posets that are Tits-sincere
Marcin Gąsiorek 1   ; Daniel Simson 1
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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_cm127_1_6,
     author = {Marcin G\k{a}siorek and Daniel Simson},
     title = {A computation of positive   one-peak posets that are {Tits-sincere}},
     journal = {Colloquium Mathematicum},
     pages = {83--103},
     year = {2012},
     volume = {127},
     number = {1},
     doi = {10.4064/cm127-1-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm127-1-6/}
}
TY  - JOUR
AU  - Marcin Gąsiorek
AU  - Daniel Simson
TI  - A computation of positive   one-peak posets that are Tits-sincere
JO  - Colloquium Mathematicum
PY  - 2012
SP  - 83
EP  - 103
VL  - 127
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm127-1-6/
DO  - 10.4064/cm127-1-6
LA  - en
ID  - 10_4064_cm127_1_6
ER  - 
%0 Journal Article
%A Marcin Gąsiorek
%A Daniel Simson
%T A computation of positive   one-peak posets that are Tits-sincere
%J Colloquium Mathematicum
%D 2012
%P 83-103
%V 127
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/cm127-1-6/
%R 10.4064/cm127-1-6
%G en
%F 10_4064_cm127_1_6
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

Cité par Sources :