Description of posets critical with respect to the nonnegativity of the quadratic Tits form

  • V. M. Bondarenko Ин-т математики НАН Украины, Киев
  • M. V. Stepochkina


We present the complete description of finite posets whose Tits form is not nonnegative but all proper subsets of which have nonnegative Tits forms. A similar result for positive forms was obtained by the authors earlier.
How to Cite
Bondarenko, V. M., and M. V. Stepochkina. “Description of Posets Critical With Respect to the Nonnegativity of the Quadratic Tits Form”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 5, May 2009, pp. 611-24,
Research articles