http://dspace.nbuv.gov.ua:80/handle/123456789/150333 2026-04-22T14:32:33Z 2026-04-22T14:32:33Z Savchuk, Y. http://dspace.nbuv.gov.ua:80/handle/123456789/156576 2019-06-18T22:28:57Z 2004-01-01T00:00:00Z

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 Vlasenko, M. http://dspace.nbuv.gov.ua:80/handle/123456789/156575 2019-06-18T22:27:37Z 2004-01-01T00:00:00Z

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 Timoshin, A.S. http://dspace.nbuv.gov.ua:80/handle/123456789/156574 2019-08-31T09:19:36Z 2004-01-01T00:00:00Z

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 Popovych, S. Turowska, L. http://dspace.nbuv.gov.ua:80/handle/123456789/156572 2019-06-18T22:25:46Z 2004-01-01T00:00:00Z

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