Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 7 (2000) no. 4, pp. 415-441
Citer cet article
A. I. Krivoruchko. On invariant rings of the groups generated by reflections with respect to the skewstrate lines. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 7 (2000) no. 4, pp. 415-441. http://geodesic.mathdoc.fr/item/JMAG_2000_7_4_a3/
@article{JMAG_2000_7_4_a3,
author = {A. I. Krivoruchko},
title = {On invariant rings of the groups generated by reflections with respect to the skewstrate lines},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {415--441},
year = {2000},
volume = {7},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2000_7_4_a3/}
}
TY - JOUR
AU - A. I. Krivoruchko
TI - On invariant rings of the groups generated by reflections with respect to the skewstrate lines
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2000
SP - 415
EP - 441
VL - 7
IS - 4
UR - http://geodesic.mathdoc.fr/item/JMAG_2000_7_4_a3/
LA - ru
ID - JMAG_2000_7_4_a3
ER -
%0 Journal Article
%A A. I. Krivoruchko
%T On invariant rings of the groups generated by reflections with respect to the skewstrate lines
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2000
%P 415-441
%V 7
%N 4
%U http://geodesic.mathdoc.fr/item/JMAG_2000_7_4_a3/
%G ru
%F JMAG_2000_7_4_a3
The basic polinomial invariants of a transformation group $H$ of the affine space $V$ are found in the case when $H$ satisfies the following conditions: a) $H$ acts on some non-cylindrical algebraic gypersuface $F\subset V$; b) $H$ is generated by affine reflections with respect to strate lines, some two of which are skew; c) for every gyperplane $P \subset V$ there exist at most one strate line $L$ such that the reflection with respect to $L$ in the direction of $P$ belongs to $H$.
