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Algebra and Discrete Mathematics, 2004, Vol. 3
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Algebra and Discrete Mathematics, 2004, № 3
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Перегляд Algebra and Discrete Mathematics, 2004, № 3 за датою випуску

Перегляд Algebra and Discrete Mathematics, 2004, № 3 за датою випуску

Результати 1-12 з 12

C*-algebra generated by four projections with sum equal to 2

Savchuk, Y. (Algebra and Discrete Mathematics, 2004)

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.
Description of the center of certain quotients of the Temperley-Lieb algebra of type ĀN

Vlasenko, M. (Algebra and Discrete Mathematics, 2004)

In this paper we consider a family of associative algebras, given via generators and relations.
Representations of linear groups over Ā₂-algebras

Timoshin, A.S. (Algebra and Discrete Mathematics, 2004)

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 ...
Unitarizable and non-unitarizable represenations of algebras generated by idempotents

Popovych, S.; Turowska, L. (Algebra and Discrete Mathematics, 2004)

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 ...
Kleinian singularities and algebras generated by elements that have given spectra and satisfy a scalar sum relation

Mellit, A. (Algebra and Discrete Mathematics, 2004)

We consider the algebras eiΠλ (Q)ei , where Πλ (Q) is the deformed preprojective algebra of weight λ and i is some vertex of Q, in the case where Q is an extended Dynkin diagram and λ lies on the hyperplane orthogonal ...
On finitistic dimension of stratified algebras

Mazorchuk, V. (Algebra and Discrete Mathematics, 2004)

In this survey we discuss the results on the finitistic dimension of various stratified algebras. We describe what is already known, present some recent estimates, and list some open problems.
On wildness of idempotent generated algebras associated with extended Dynkin diagrams

Bondarenko, V.M. (Algebra and Discrete Mathematics, 2004)

Let Λ denote an extended Dynkin diagram with vertex set Λ0 = {0, 1,... ,n}. For a vertex i, denote by S(i) the set of vertices j such that there is an edge joining i and j; one assumes the diagram has a unique vertex ...
On the spectrum and spectrum multiplicities of a sum of orthogonal projections

Kyrychenko, A.A.; Samoılenko, Yu.S. (Algebra and Discrete Mathematics, 2004)

Let H be a unitary (finite dimensional Hilbert) space. It is known [1] that a self-adjoint operator on H, A = A* ≥ 0, is a sum of n orthogonal projections for some n ∈ N if and only if 1) tr A ∈ N∪{0}, 2) tr A ≥ dim Im A ...
On decompositions of affine Coxeter groups in semi-direct products

Jushenko, E. (Algebra and Discrete Mathematics, 2004)

In this paper we study affine Coxeter groups. We show how to construct decompositions of the investigated groups into semi-direct products. We use this to give the complete list of irreducible representations of affine ...
Two-step tilting for standardly stratified algebras

Frisk, A. (Algebra and Discrete Mathematics, 2004)

We study the class of standardly stratified algebras introduced by Cline, Parshall and Scott, and its subclass of the so-called weakly properly stratified algebras, which generalizes the class of properly stratified ...
Dimensions of finite type for representations of partially ordered sets

Drozd, Y.A.; Kubichka, E.A. (Algebra and Discrete Mathematics, 2004)

We consider the dimensions of finite type of representations of a partially ordered set, i.e. such that there is only finitely many isomorphism classes of representations of this dimension. We give a criterion for a ...
On the group of extensions for the bicrossed product construction for a locally compact group

Chapovsky, Yu.A.; Kalyuzhnyi, A.A.; Podkolzin, G.B. (Algebra and Discrete Mathematics, 2004)

For the cocycle bicrossed product construction applied to a locally compact group and its two subgroups, we give a simple description of the group of the corresponding extensions in terms of the second cohomology group ...

Результати 1-12 з 12

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