2017
Том 69
№ 9

All Issues

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

Bondarenko V. M., Stepochkina M. V.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 5, pp 734-746.

Citation Example: Bondarenko V. M., Stepochkina M. V. Description of posets critical with respect to the nonnegativity of the quadratic Tits form // Ukr. Mat. Zh. - 2009. - 61, № 5. - pp. 611-624.

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