http://dspace.nbuv.gov.ua:80/handle/123456789/150333 2026-04-22T14:32:35Z http://dspace.nbuv.gov.ua:80/handle/123456789/156576 C*-algebra generated by four projections with sum equal to 2 Savchuk, Y. We describe the C*-algebra generated by four orthogonal projections p₁,p₂,p₃,p₄, satisfying the linear relation p₁ + p₂ + p₃ + p₄ = 2I. The simplest realization by 2 × 2-matrixfunctions over the sphere S² is given. 2004-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/156575 Description of the center of certain quotients of the Temperley-Lieb algebra of type ĀN Vlasenko, M. In this paper we consider a family of associative algebras, given via generators and relations. 2004-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/156574 Representations of linear groups over Ā₂-algebras Timoshin, A.S. In the space of irreducible unitary representations of a linear group over an algebra of type Ā₂ an open dense subset of representations in the general position is singled out. This set is identified, up to simple direct factors, with the space of representations of a full linear group. 2004-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/156572 Unitarizable and non-unitarizable represenations of algebras generated by idempotents Popovych, S.; Turowska, L. The problem of unitarization of representations of algebras generated by idempotents with linear relations is studied. Construction of non-unitarizable representations for some subintervals of continuous spectrum is presented. Unitarization of representations from discrete series is proven. 2004-01-01T00:00:00Z