Results 21 to 30 of about 823,346 (364)

Primitive Triangular UHF Algebras

Journal of Functional Analysis, 1998
The authors prove that a large class of triangular UHF algebras are primitive. There are cases where explicitly they give a faithful algebraically irreducible representation of the algebra on a separable Hilbert space. For other cases they follow an indirect way studying the prime ideal structure of the algebra. From this they obtain a characterization
Hudson, T.D, Katsoulis, E.G
openaire   +2 more sources

Quantum double of Heisenberg-Weyl algebra, its universal R-matrix and their representations [PDF]

, 1993
In this paper a new quasi-triangular Hopf algebra as the quantum double of the Heisenberg-Weyl algebra is presented.Its universal R-matrix is built and the corresponding representation theory are studied with the explict construction for the ...
Biedenharn L, Chang-Pu Sun, Drinfeld V G, Fairlie D B, Jimbo M, Jimbo M, Kulish P, Liu X F, Liu X F, Macfarlane A, Mo-Lin Ge, Serre J-P, Sudbery A, Sun C P, Sun C P, Tankhtajian L A   +15 more
core   +2 more sources

Orthogonality graph of the algebra of upper triangular matrices [PDF]

, 2016
We study the connectedness and the diameter of orthogonality graphs of upper triangular matrix algebras over arbitrary fields.
B. Bakhadly
semanticscholar   +1 more source

Invariants of triangular Lie algebras [PDF]

Journal of Physics A: Mathematical and Theoretical, 2007
Triangular Lie algebras are the Lie algebras which can be faithfully represented by triangular matrices of any finite size over the real/complex number field. In the paper invariants ('generalized Casimir operators') are found for three classes of Lie algebras, namely those which are either strictly or non-strictly triangular, and for so-called special
Boyko, Vyacheslav M., Patera, Jiri, Popovych, Roman   +2 more
openaire   +2 more sources

Operators on triangular algebras

Linear Algebra and its Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Sumanth Datt, Uma N. Iyer, G. Koteswara Rao   +2 more
openaire   +2 more sources

Triangular norm-based intuitionistic fuzzy BE-algebras and filters [PDF]

Notes on IFS
In this paper, intuitionistic fuzzy BE-algebra that a generalization of the BCK-algebra is introduced with respect to t-norms and t-conorms. The various algebraic properties of triangular norm-based intuitionistic fuzzy BE-algebras are studied in detail,
Sinem Tarsuslu (Yılmaz)
doaj   +1 more source

Product of derivations on triangular banach algebras [PDF]

Journal of Hyperstructures, 2017
In this paper, we give a necessary and sufficient condition for the product of two derivations on the triangular Banach algebra to be a derivation. We also study the case where the product of derivations is commutative.
Mohammad Hossein Sattari, Hamid Shafieasl   +1 more
doaj   +1 more source

Batched Triangular Dense Linear Algebra Kernels for Very Small Matrix Sizes on GPUs

ACM Transactions on Mathematical Software, 2019
Batched dense linear algebra kernels are becoming ubiquitous in scientific applications, ranging from tensor contractions in deep learning to data compression in hierarchical low-rank matrix approximation.
A. Charara, D. Keyes, H. Ltaief
semanticscholar   +1 more source

On the Tame automorphisms of differential polynomial algebras

AIMS Mathematics, 2020
Let $R\{x,y\}$ be the differential polynomial algebra in two differential indeterminates $x,y$ over a differential domain $R$ with a derivation operator $\delta$.
Zehra Velioǧlu, Mukaddes Balçik
doaj   +1 more source

Nilpotent Lie algebras of derivations with the center of small corank

Karpatsʹkì Matematičnì Publìkacìï, 2020
Let $\mathbb K$ be a field of characteristic zero, $A$ be an integral domain over $\mathbb K$ with the field of fractions $R=Frac(A),$ and $Der_{\mathbb K}A$ be the Lie algebra of all $\mathbb K$-derivations on $A$. Let $W(A):=RDer_{\mathbb K} A$ and $L$
Y.Y. Chapovskyi, L.Z. Mashchenko, A.P. Petravchuk   +2 more
doaj   +1 more source