Geodesic
On basic invariants of some finite subgroups in $SL_3(\mathbf{C})$
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 81 (2023), pp. 39-48

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The work is devoted to the study of algebras of invariants of finite unitary groups $G'=G\cap SL_3(\mathbf{C})$, where $G$ is a finite unitary irreducible primitive group generated by reflections in the unitary space $U^3$. It is known that the system of invariants of the group $G'$ that form an algebra is obtained from the system of invariants of the group $G$ that form the algebra by adding all semi-invariants of the group $G$ of a special form. In the paper, generators of the algebras of invariants of all the indicated groups $G'$ are constructed.
Keywords: unitary space, reflection, reflection groups, algebra of invariants, basic invariants.
Mots-clés : invariant, semi-invariant 
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     author = {O. I. Rudnitskii},
     title = {On basic invariants of some finite subgroups in $SL_3(\mathbf{C})$},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {39--48},
     publisher = {mathdoc},
     number = {81},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2023_81_a3/}
}
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O. I. Rudnitskii. On basic invariants of some finite subgroups in $SL_3(\mathbf{C})$. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 81 (2023), pp. 39-48. http://geodesic.mathdoc.fr/item/VTGU_2023_81_a3/