Results 1 to 10 of about 2,410,088 (276)
On Free Pseudo-Product Fundamental Graded Lie Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2012 In this paper we first state the classification of the prolongations of complex free fundamental graded Lie algebras. Next we introduce the notion of free pseudo-product fundamental graded Lie algebras and study the prolongations of complex free pseudo ...
Tomoaki Yatsui
doaj +1 more source
Discrete Dynamics in Nature and Society, 2012 Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in C∗-algebras and Lie C∗-algebras and of derivations on non-Archimedean C∗-algebras and Non-Archimedean Lie C∗-algebras for an m-variable additive functional ...
Yeol Je Cho, Reza Saadati, Javad Vahidi
doaj +1 more source
Almost Kaehlerian and Hermitian Structures on Four Dimensional Indecomposable Lie Algebras
Universal Journal of Mathematics and Applications, 2022 It is known that from a given almost Hermitian structure on a simply connected Liegroup, one can obtain left-invariant almost Hermitian structure on its Lie algebra.In this work, we consider Mubarakzyanov’s classification of four-dimensional realLie ...
Mehmet Solgun
doaj +1 more source
Infinite-Dimensional Lie Groups [PDF]
This is a preliminary version of a book on infinite-dimensional Lie groups. It covers the basics of calculus and manifolds in the context of locally convex spaces, based on Bastiani's notion of a smooth map.
H. Gloeckner, K. Neeb
semanticscholar +1 more source
Fixed Points and Stability of the Cauchy Functional Equation in C∗-Algebras
Fixed Point Theory and Applications, 2009 Using the fixed point method, we prove the generalized Hyers-Ulam stability of homomorphisms in C∗-algebras and Lie C∗-algebras and of derivations on C∗-algebras and Lie C∗-algebras for the Cauchy functional equation.
Choonkil Park
doaj +1 more source
On the role played by anticommutativity in Leibniz algebras
Доповiдi Нацiональної академiї наук УкраїниLie algebras are exactly the anticommutative Leibniz algebras. We conduct a brief analysis of the approach to Leibniz algebras which is based on the concept of anticenter (Lie-center) and antinilpotency (Lie nilpotentency).
L.A. Kurdachenko +2 more
doaj +1 more source
, 2014 In this paper, first we show that is a Hom–Lie algebra if and only if is an differential graded-commutative algebra. Then, we revisit representations of Hom–Lie algebras and show that there are a series of coboundary operators.
Yunhe Sheng, Zhen Xiong
semanticscholar +1 more source
Restricted and quasi-toral restricted Lie-Rinehart algebras
Open Mathematics, 2015 In this paper, we introduce the definition of restrictable Lie-Rinehart algebras, the concept of restrictability is by far more tractable than that of a restricted Lie-Rinehart algebra.
Sun Bing, Chen Liangyun
doaj +1 more source
On Deformations and Contractions of Lie Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2006 In this contributed presentation, we discuss and compare the mutually opposite procedures of deformations and contractions of Lie algebras. We suggest that with appropriate combinations of both procedures one may construct new Lie algebras.
Marc de Montigny, Alice Fialowski
doaj
MathematicsWe study the notion of semicomplete Leibniz algebras and investigate their fundamental properties. In particular, we classify all non-Lie Leibniz algebras of dimension at most three according to their semicompleteness and establish structural results ...
Chaleamrach Malangpoo +2 more
doaj +1 more source