http://hdl.handle.net/123456789/113 2026-04-16T00:07:49Z 2026-04-16T00:07:49Z Vlasenko, Masha http://hdl.handle.net/123456789/126 2020-01-24T21:28:33Z 2004-01-01T00:00:00Z

Description of the center of certain quotients of the Temperley-Lieb algebra of type e AN Vlasenko, Masha

2004-01-01T00:00:00Z Timoshin, Anatoliy S. http://hdl.handle.net/123456789/125 2020-01-24T21:28:19Z 2004-01-01T00:00:00Z

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.

2004-01-01T00:00:00Z Savchuk, Yuri http://hdl.handle.net/123456789/124 2020-01-24T21:28:34Z 2004-01-01T00:00:00Z

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.

2004-01-01T00:00:00Z Popovych, Stanislav Turowska, Lyudmila http://hdl.handle.net/123456789/123 2020-01-24T21:28:16Z 2004-01-01T00:00:00Z

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.

2004-01-01T00:00:00Z