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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 9, Pages 43–48
(Mi ivm8928)
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This article is cited in 1 scientific paper (total in 1 paper)
Properties of the Coxeter transformation for affine Dynkin cycle
V. V. Men'shikha, V. F. Subbotinb 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.
Received: 11.03.2013
Citation:
V. V. Men'shikh, V. F. Subbotin, “Properties of the Coxeter transformation for affine Dynkin cycle”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 9, 43–48; Russian Math. (Iz. VUZ), 58:9 (2014), 36–40
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https://www.mathnet.ru/eng/ivm8928 https://www.mathnet.ru/eng/ivm/y2014/i9/p43
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Abstract page: | 252 | Full-text PDF : | 49 | References: | 63 | First page: | 11 |
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