Results 1 to 10 of about 751 (85)
Outer automorphism groups of simple Lie algebras and symmetries of painted diagrams [PDF]
, 2022 Let g be a simple Lie algebra. Let Aut(g) be the group of all automorphisms on g, and let Int(g) be its identity component. The outer automorphism group of g is defined as Aut(g)/Int(g).
Meng‐Kiat Chuah, Mingjing Zhang
semanticscholar +1 more source
Triality Groups Associated with Triple Systems and their Homotope Algebras
Annales Mathematicae Silesianae, 2021 We introduce the notion of an (α, β, γ) triple system, which generalizes the familiar generalized Jordan triple system related to a construction of simple Lie algebras. We then discuss its realization by considering some bilinear algebras and vice versa.
Kamiya Noriaki
doaj +1 more source
Derivation-homomorphism functional inequalities
, 2021 In this paper, we introduce and solve the following additive-additive (s,t) -functional inequality ‖g(x+ y)−g(x)−g(y)‖+‖h(x+ y)+h(x− y)−2h(x)‖ (1) ∥∥∥s ( 2g ( x+ y 2 ) −g(x)−g(y) ∥∥∥+ ∥∥∥t ( 2h ( x+ y 2 ) +2h ( x− y 2 ) −2h(x) ∥∥∥ , where s and t are ...
Choonkill Park
semanticscholar +1 more source
Random homomorphisms and random derivations in random normed algebras via fixed point method
Journal of Inequalities and Applications, 2012 Using the fixed point method, we prove the Hyers-Ulam stability of the Cauchy additive functional inequality and of the Cauchy-Jensen additive functional inequality in random normed spaces.MSC:47H10, 39B52, 37H10, 60H25, 17B40, 39B72, 47B47, 54E70.
Choonkill Park +2 more
semanticscholar +2 more sources
A system of additive functional equations in complex Banach algebras
Demonstratio Mathematica, 2023 In this article, we solve the system of additive functional equations: 2f(x+y)−g(x)=g(y),g(x+y)−2f(y−x)=4f(x)\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}2f\left(x+y)-g\left(x)=g(y),\\ g\left(x+y)-2f(y-x)=4f\left(x)\end{array}\right.
Paokanta Siriluk +3 more
doaj +1 more source
On Isoclinic Extensions of Lie Algebras and Nilpotent Lie Algebras
Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper, we present the concept of isoclinism of Lie algebras and its relationship to the Schur multiplier of Lie algebras. Moreover, we prove some properties of a pair of nilpotent Lie algebras.
Arabyani Homayoon +1 more
doaj +1 more source
The Johnson Cokernel and the Enomoto-Satoh invariant [PDF]
, 2013 We study the cokernel of the Johnson homomorphism for the mapping class group of a surface with one boundary component. A graphical trace map simultaneously generalizing trace maps of Enomoto and Satoh and Conant, Kassabov and Vogtmann is given, and ...
James F. Conant
semanticscholar +1 more source
Hyers-Ulam stability of derivations on proper Jordan CQ*-algebras
Journal of Inequalities and Applications, 2012 Eskandani and Vaezi proved the Hyers-Ulam stability of derivations on proper Jordan CQ*-algebras associated with the following Pexiderized Jensen type functional equation kfx+yk=f0(x)+f1(y) by using direct method.
Choonkill Park +3 more
semanticscholar +2 more sources
Hom-Lie superalgebra structures on exceptional simple Lie superalgebras of vector fields
Open Mathematics, 2017 According to the classification by Kac, there are eight Cartan series and five exceptional Lie superalgebras in infinite-dimensional simple linearly compact Lie superalgebras of vector fields.
Sun Liping, Liu Wende
doaj +1 more source
Defining relations for automorphism groups of free algebras [PDF]
, 2006 We describe a set of defining relations for automorphism groups of finitely generated free algebras of Nielsen-Schreier varieties. In particular, this gives a representation of the automorphism groups of free Lie algebras by generators and defining ...
Umirbaev, Ualbai
core +2 more sources