Matematičeskie zametki, Tome 64 (1998) no. 3, pp. 397-402
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I. I. Kotova. Description of root systems with given Weyl group. Matematičeskie zametki, Tome 64 (1998) no. 3, pp. 397-402. http://geodesic.mathdoc.fr/item/MZM_1998_64_3_a6/
@article{MZM_1998_64_3_a6,
author = {I. I. Kotova},
title = {Description of root systems with given {Weyl} group},
journal = {Matemati\v{c}eskie zametki},
pages = {397--402},
year = {1998},
volume = {64},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1998_64_3_a6/}
}
TY - JOUR
AU - I. I. Kotova
TI - Description of root systems with given Weyl group
JO - Matematičeskie zametki
PY - 1998
SP - 397
EP - 402
VL - 64
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1998_64_3_a6/
LA - ru
ID - MZM_1998_64_3_a6
ER -
%0 Journal Article
%A I. I. Kotova
%T Description of root systems with given Weyl group
%J Matematičeskie zametki
%D 1998
%P 397-402
%V 64
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1998_64_3_a6/
%G ru
%F MZM_1998_64_3_a6
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.
