Results 141 to 150 of about 519,562 (333)

On Algebraic Lie Algebras [PDF]

open access: yesProceedings of the National Academy of Sciences, 1945
Hsio-Fu Tuan, Claude Chevalley
openaire   +3 more sources

Lie algebras with triality

open access: yesJournal of Algebra, 2003
By analogy with the definition of group with triality we introduce Lie algebra with triality as Lie algebra L wich admits the group of automorphisms S_3={s,r | s^2=r^3=1, srs=r^2} such that for any x\in L we have (x^s-x)+(x^s-x)^r+(x^s-x)^(r^2)=0. We describe the structure of finite dimensional Lie algebra with triality over a field of characteristic 0
openaire   +3 more sources

Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta   +2 more
wiley   +1 more source

On derivations of linear algebras of a special type

open access: yesДифференциальная геометрия многообразий фигур
In this work, Lie algebras of differentiation of linear algebra, the op­eration of multiplication in which is defined using a linear form and two fixed elements of the main field are studied. In the first part of the work, a definition of differentiation
A. Ya. Sultanov   +2 more
doaj   +1 more source

The Lie Lie algebra

open access: yes, 2015
Version 3 incorporates several suggestions from the referee. The abstract and introduction have been rewritten to be more user-friendly.
openaire   +2 more sources

On the algebraic hull of a Lie algebra [PDF]

open access: yesProceedings of the American Mathematical Society, 1960
Let F be a field of characteristic 0, and let V be a finite dimensional vector space over F. Let E denote the algebra of all endomorphisms of V, and let L be any Lie subalgebra of E. Among the algebraic Lie algebras contained in E and containing L, there is one that is contained in all of them, and this is called the algebraic hull of L in E.
openaire   +2 more sources

On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas

open access: yesContributions to Plasma Physics, EarlyView.
ABSTRACT The density–density correlations of the non‐interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic ...
Panagiotis Tolias   +2 more
wiley   +1 more source

Invariant Algebras [PDF]

open access: yesarXiv, 2011
We introduce invariant algebras and representation$^{(c_1,..., c_8)}$ of algebras, and give many ways of constructing Lie algebras, Jordan algebras, Leibniz algebras, pre-Lie algebras and left-symmetric algebras in an invariant algebras.
arxiv  

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