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Matematicheskie Zametki, 1998, Volume 64, Issue 3, Pages 397–402
DOI: https://doi.org/10.4213/mzm1409 (Mi mzm1409) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Description of root systems with given Weyl group

I. I. Kotova

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm1409
Abstract: The paper is devoted to the description of generalized root systems with a given Weyl group. This problem arises in connection with the classification of infinite-dimensional Lie algebras and in the study of discrete groups generated by reflections. A criterion for the existence of a root system for a given discrete group generated by reflections and an algorithm of describing all root systems with a given Weyl group are obtained.
Received: 15.05.1997
English version:
Mathematical Notes, 1998, Volume 64, Issue 3, Pages 342–346
DOI: https://doi.org/10.1007/BF02314842
Bibliographic databases:
UDC: 512.81.73
Language: Russian
Citation: I. I. Kotova, “Description of root systems with given Weyl group”, Mat. Zametki, 64:3 (1998), 397–402; Math. Notes, 64:3 (1998), 342–346
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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