A COMPUTATION OF POSITIVE ONE-PEAK POSETS THAT ARE TITS-SINCERE

作者：Gasiorek Marcin^*; Simson Daniel

来源：Colloquium Mathematicum, 2012, 127(1): 83-103.

DOI：10.4064/cm127-1-6

• positive poset
• Tits-sincere root
• Coxeter polynomial
• waist reflection
• Tits bilinear form
• Dynkin diagram
• mesh translation quiver

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 is an element of M-n (Z) is Z-congruent to its transpose A(tr) is also discussed.

• 出版日期2012