Zapiski Nauchnykh Seminarov POMI, Modules and algebraic groups, Tome 114 (1982), pp. 120-130
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N. L. Gordeev. Invariants of linear groups generated by matrices with two nonunit eigenvalues. Zapiski Nauchnykh Seminarov POMI, Modules and algebraic groups, Tome 114 (1982), pp. 120-130. http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a9/
@article{ZNSL_1982_114_a9,
author = {N. L. Gordeev},
title = {Invariants of linear groups generated by matrices with two nonunit eigenvalues},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {120--130},
year = {1982},
volume = {114},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a9/}
}
TY - JOUR
AU - N. L. Gordeev
TI - Invariants of linear groups generated by matrices with two nonunit eigenvalues
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1982
SP - 120
EP - 130
VL - 114
UR - http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a9/
LA - ru
ID - ZNSL_1982_114_a9
ER -
%0 Journal Article
%A N. L. Gordeev
%T Invariants of linear groups generated by matrices with two nonunit eigenvalues
%J Zapiski Nauchnykh Seminarov POMI
%D 1982
%P 120-130
%V 114
%U http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a9/
%G ru
%F ZNSL_1982_114_a9
A theorem on the structure of the algebra of invariants of the commutant of a group generated by pseudoreflections is improved. In particular, it is shown that this algebra is a complete intersection. A series of counterexamples to Stanley's conjecture is constructed in dimension 4. Results supporting this conjecture for primitive groups of large dimension are given.