http://hdl.handle.net/123456789/114 Thu, 16 Apr 2026 01:37:49 GMT 2026-04-16T01:37:49Z http://hdl.handle.net/123456789/126 Description of the center of certain quotients of the Temperley-Lieb algebra of type e AN Vlasenko, Masha Thu, 01 Jan 2004 00:00:00 GMT http://hdl.handle.net/123456789/126 2004-01-01T00:00:00Z http://hdl.handle.net/123456789/125 Representations of linear groups over e A2-algebras Timoshin, Anatoliy S. In the space of irreducible unitary representations of a linear group over an algebra of type e A2 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 represen- tations of a full linear group. Thu, 01 Jan 2004 00:00:00 GMT http://hdl.handle.net/123456789/125 2004-01-01T00:00:00Z http://hdl.handle.net/123456789/124 C -algebra generated by four projections with sum equal to 2 Savchuk, Yuri 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. Thu, 01 Jan 2004 00:00:00 GMT http://hdl.handle.net/123456789/124 2004-01-01T00:00:00Z http://hdl.handle.net/123456789/123 Unitarizable and non-unitarizable represenations of algebras generated by idempotents Popovych, Stanislav; Turowska, Lyudmila 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. Thu, 01 Jan 2004 00:00:00 GMT http://hdl.handle.net/123456789/123 2004-01-01T00:00:00Z