Results 21 to 30 of about 118,403 (253)

Higher-dimensional automorphic lie algebras [PDF]

open access: yes, 2016
The paper presents the complete classification of Automorphic Lie Algebras based on sln(C)sln(C) , where the symmetry group G is finite and acts on sln(C)sln(C) by inner automorphisms, sln(C)sln(C) has no trivial summands, and where the poles are in ...
Sanders, Jan   +10 more
core   +2 more sources

On classification of (n + 6)-dimensional nilpotent n-Lie algebras of class 2 with n ≥ 4 [PDF]

open access: yesArab Journal of Mathematical Sciences, 2021
Purpose – The purpose of this paper is to determine the structure of nilpotent (n+6)-dimensional n-Lie algebras of class 2 when n≥4. Design/methodology/approach – By dividing a nilpotent (n+6)-dimensional n-Lie algebra of class 2 by a central element ...
Mehdi Jamshidi   +2 more
doaj   +1 more source

ALJABAR-C* DAN SIFATNYA

open access: yesBarekeng, 2012
These notes in this paper form an introductory of C*-algebras and its properties. Some results on more general Banach algebras and C*-algebras, are included.
HARMANUS BATKUNDE, Elvinus R. Persulessy
doaj   +1 more source

Vinberg's T-algebras: From exceptional periodicity to black hole entropy

open access: yesSciPost Physics Proceedings, 2023
We introduce the so-called Magic Star (MS) projection within the root lattice of finite-dimensional exceptional Lie algebras, and relate it to rank-3 simple and semi-simple Jordan algebras.
Alessio Marrani
doaj   +1 more source

Levels and sublevels of composition algebras [PDF]

open access: yes, 2007
Lewis' and Leep's bounds on the level and sublevel of quaternion algebras are extended to the class of composition algebras. Some simple constructions of composition algebras of known level values are given.
O'Shea, James
core   +1 more source

On Sheffer Stroke Be-Algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2022
In this paper we introduce Sheffer stroke BE-algebras (briefly, SBE-algebras) and investigate a relationship between SBE-algebras and BE-algebras. By presenting a SBE-filter, an upper set and a SBE-subalgebra on a SBE-algebra, it is shown that any SBE ...
Katican Tugce   +2 more
doaj   +1 more source

Order preserving limits of finite-dimensional nest algebras. [PDF]

open access: yes, 2002
We introduce order conserving embeddings as a more general form of order preserving embeddings between finite dimensional nest algebras. The structure of these embeddings is determined, in terms of order indecomposable decompositions, and they are shown ...
Alan Hopenwasser   +3 more
core   +3 more sources

Nonlinear η-∗-Jordan n-Derivation on ∗-Algebras

open access: yesMathematics
Let A be a unital ∗-algebra with the unit I over the complex field C and let η≠0,±1 be a complex number. For any A,B∈A, A⋄ηB=AB+ηBA* is referred to as the η-Jordan ∗-product. Suppose that n≥3 is a fixed positive integer.
Shengsheng Wu   +2 more
doaj   +1 more source

Properties and examples of FCR-algebras [PDF]

open access: yes, 2001
An algebra A over a field k is FCR if every finite dimensional representation of A is completely reducible and the intersection of the kernels of these representations is zero.
Kraft, Hanspeter   +2 more
core   +1 more source

Elementary Lie Algebras and Lie A-Algebras. [PDF]

open access: yes, 2007
A finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of
Varea, Vicente R., Towers, David A.
core   +2 more sources

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