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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1989 Volume 172, Pages 121–129 (Mi znsl4487)

This article is cited in 5 papers

Representations of $*$-algebras with two generators and polynomial relations

V. L. Ostrovsky, Yu. S. Samoilenko


Abstract: 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.

UDC: 519.46


 English version:
Journal of Soviet Mathematics, 1992, 59:5, 1107–1113

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