Properties of the Coxeter transformation for affine Dynkin cycle
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2014), pp. 43-48

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We study properties of Coxeter transformations for affine Dynkin cycle and find Jordan form of Coxeter transformation and Coxeter numbers.
Keywords: Weyl group
Mots-clés : Coxeter transformation, affine Dynkin cycle, Jordan form.
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     author = {V. V. Men'shikh and V. F. Subbotin},
     title = {Properties of the {Coxeter} transformation for affine {Dynkin} cycle},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {43--48},
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     number = {9},
     year = {2014},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2014_9_a3/}
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V. V. Men'shikh; V. F. Subbotin. Properties of the Coxeter transformation for affine Dynkin cycle. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2014), pp. 43-48. http://geodesic.mathdoc.fr/item/IVM_2014_9_a3/