Статтіhttp://hdl.handle.net/123456789/1142020-11-27T01:05:10Z2020-11-27T01:05:10ZDescription of the center of certain quotients of the Temperley-Lieb algebra of type e ANVlasenko, Mashahttp://hdl.handle.net/123456789/1262020-01-24T21:28:33Z2004-01-01T00:00:00ZDescription of the center of certain quotients of the Temperley-Lieb algebra of type e AN
Vlasenko, Masha
2004-01-01T00:00:00ZRepresentations of linear groups over e A2-algebrasTimoshin, Anatoliy S.http://hdl.handle.net/123456789/1252020-01-24T21:28:19Z2004-01-01T00:00:00ZRepresentations 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.
2004-01-01T00:00:00ZC -algebra generated by four projections with sum equal to 2Savchuk, Yurihttp://hdl.handle.net/123456789/1242020-01-24T21:28:34Z2004-01-01T00:00:00ZC -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.
2004-01-01T00:00:00ZUnitarizable and non-unitarizable represenations of algebras generated by idempotentsPopovych, StanislavTurowska, Lyudmilahttp://hdl.handle.net/123456789/1232020-01-24T21:28:16Z2004-01-01T00:00:00ZUnitarizable 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