Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 10, Tome 172 (1989), pp. 121-129
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V. L. Ostrovsky; Yu. S. Samoilenko. Representations of $*$-algebras with two generators and polynomial relations. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 10, Tome 172 (1989), pp. 121-129. http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a10/
@article{ZNSL_1989_172_a10,
author = {V. L. Ostrovsky and Yu. S. Samoilenko},
title = {Representations of $*$-algebras with two generators and polynomial relations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {121--129},
year = {1989},
volume = {172},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a10/}
}
TY - JOUR
AU - V. L. Ostrovsky
AU - Yu. S. Samoilenko
TI - Representations of $*$-algebras with two generators and polynomial relations
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1989
SP - 121
EP - 129
VL - 172
UR - http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a10/
LA - ru
ID - ZNSL_1989_172_a10
ER -
%0 Journal Article
%A V. L. Ostrovsky
%A Yu. S. Samoilenko
%T Representations of $*$-algebras with two generators and polynomial relations
%J Zapiski Nauchnykh Seminarov POMI
%D 1989
%P 121-129
%V 172
%U http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a10/
%G ru
%F ZNSL_1989_172_a10
It is proved that all $*$-algebras with quadratic relations are tame; a classification of their representations is given. Examples of algebras with general polynomial relations (both tame and wild) are studied.
