V. V. Men'shikh, V. F. Subbotin, “Properties of the Coxeter transformation for affine Dynkin cycle”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, Number 9,Pages <nobr>43

This article is cited in 1 paper

Properties of the Coxeter transformation for affine Dynkin cycle

V. V. Men'shikh^a, V. F. Subbotin^b

^a Chair of Higher Mathematics, Voronezh Institute of Ministry of Internal Affairs of Russia, 53 Patriotov Ave., Voronezh, 394065 Russia
^b Chair of Alegebra and Topological Methods of Analysis, Voronezh State University, 1 Universitetskaya sq., Voronezh, 394006 Russia

Abstract: We study properties of Coxeter transformations for affine Dynkin cycle and find Jordan form of Coxeter transformation and Coxeter numbers.

Keywords: Weyl group, Coxeter transformation, affine Dynkin cycle, Jordan form.

UDC: 512.86+519.12

Received: 11.03.2013