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Izv. Vyssh. Uchebn. Zaved. Mat., 2014, Number 9, Pages 43–48 (Mi ivm8928)  

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.

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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:9, 36–40

UDC: 512.86+519.12
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

Citation in format AMSBIB
\Bibitem{MenSub14}
\by V.~V.~Men'shikh, V.~F.~Subbotin
\paper Properties of the Coxeter transformation for affine Dynkin cycle
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 9
\pages 43--48
\mathnet{http://mi.mathnet.ru/ivm8928}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 9
\pages 36--40
\crossref{https://doi.org/10.3103/S1066369X14090047}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84906228660}


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  • Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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