Results 151 to 160 of about 812,891 (203)

Graded polynomial identities for the upper triangular matrix algebra over a finite field

, 2020
Let K be a finite field and let U T n ( K ) be the algebra of n × n upper triangular matrices over K . In this paper we describe the set of all G-graded polynomial identities of U T n ( K ) , where G is any group. Moreover, we describe a linear basis for
Dimas José Gonçalves, Evandro Riva
semanticscholar   +1 more source

Characterizations of Lie centralizers of triangular algebras

Linear and multilinear algebra, 2022
Let be an unital algebra over the complex field . A linear map ϕ from into itself is called a Lie centralizer at a given point if for all with ST = G. The aim of this paper is to give a description of Lie centralizers at an arbitrary but fixed point on ...
Lei Liu, Kaitian Gao
semanticscholar   +1 more source

Gradings on the algebra of upper triangular matrices and their graded identities

Journal of Algebra, 2004
Let K be an infinite field and let UT n ( K ) denote the algebra of n × n upper triangular matrices over  K . We describe all elementary gradings on this algebra.
Plamen Koshlukov, A Valenti
exaly   +2 more sources

Coordinates for Triangular Operator Algebras

The Annals of Mathematics, 1988
Let A be a Cartan subalgebra of a von Neumann algebra M. This means A is a masa in M, the set of unitaries \(u\in M\) satisfying \(u^{-1}Au=A\) generates M, and there is a faithful normal expectation from M onto A. The simplest example has \(M=M_ n({\mathbb{C}})\) with A its subalgebra of diagonal matrices. In their papers [Trans. Amer. Math. Soc. 234,
Muhly, Paul S., Saito, Kichi-Suke, Solel, Baruch   +2 more
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The Representation Theory of Brauer Categories I: Triangular Categories

Applied Categorical Structures, 2020
This is the first in a series of papers in which we study representations of the Brauer category and its allies. We define a general notion of triangular category that abstracts key properties of the triangular decomposition of a semisimple complex Lie ...
Steven V. Sam, Andrew Snowden
semanticscholar   +1 more source

On the Closure of Triangular Algebras

American Journal of Mathematics, 1990
The author constructs triangular algebras in the hyperfinite \(II_ 1\) factor and in \(B(H)\) whose norm closures are not triangular. These examples answer the question about triangular algebras in the negative.
openaire   +1 more source

IMBEDDING OF ALGEBRAS IN ALGEBRAS OF TRIANGULAR MATRICES

Mathematics of the USSR-Sbornik, 1980
It is proved in the paper that an algebra which satisfies identities of the form ??is imbeddable in the algebra of triangular matrices over a commutative algebra . This permits us to answer both the question due to L. Small concerning the imbeddability of an arbitrary nilpotent algebra in a matrix algebra over a commutative algebra and the question ...
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Structured Triangular Limit Algebras

Proceedings of the London Mathematical Society, 1997
A class of triangular UHF algebras are investigated which have the special property that there exists a sequence of unital multiplicative contractive finite-rank conditional expectations of the algebra into itself, which converges strongly to the identity, whose ranges form an increasing chain with dense union.
Larson, David R., Solel, Baruch
openaire   +1 more source

Efficient Block Algorithms for Parallel Sparse Triangular Solve

International Conference on Parallel Processing, 2020
The sparse triangular solve (SpTRSV) kernel is an important building block for a number of linear algebra routines such as sparse direct and iterative solvers.
Zhengyang Lu, Yuyao Niu, Weifeng Liu
semanticscholar   +1 more source

Commuting Maps of Triangular Algebras

Journal of the London Mathematical Society, 2001
We investigate commuting maps on a class of algebras called triangular algebras. In particular, we give sufficient conditions such that every commuting map \(L\) on such an algebra is of the form \(L(a)=ax+h(a)\), where \(x\) lies in the center of the algebra and \(h\) is a linear map from the algebra to its center.
openaire   +1 more source