Nonnegativity for Cartan–Tits and Kac–Moody Forms

V. A. Kolmykov

Voronezh State University

Abstract: Forms generalizing Cartan–Tits and Kac–Moody forms are considered. Necessary conditions for these forms to be nonnegative are found.

Keywords: Cartan–Tits form, Kac–Moody form, form with average diagonal dominance, nonnegative form, positive form, Coxeter graph.

UDC: 512.647.2+512.817.72

Received: 23.10.2007

DOI: 10.4213/mzm4156

 English version: Mathematical Notes, 2013, 93:5, 722–726

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