Recently Pascal Baseilhac and Stefan Kolb introduced some automorphisms $T_0$, $T_1$ of the $q$-Onsager algebra $\mathcal O_q$, that are roughly analogous to the Lusztig automorphisms of $U_q(\widehat{\mathfrak{sl}}_2)$.
Terwilliger, Paul
core +1 more source
Infinite-Dimensional Lie Algebras of Generalized Block Type [PDF]
This paper investigates a class of infinite-dimensional Lie algebras over a field of characteristic 0 which are called here Lie algebras of generalized Block type, and which generalize a class of Lie algebras originally defined by Richard Block.
Osborn, J. Marshall, Zhao, Kaiming
core +1 more source
Combined system of additive functional equations in Banach algebras
In this study, we solve the system of additive functional equations: h(x+y)=h(x)+h(y),g(x+y)=f(x)+f(y),2fx+y2=g(x)+g(y),\left\{\begin{array}{l}h\left(x+y)=h\left(x)+h(y),\\ g\left(x+y)=f\left(x)+f(y),\\ 2f\left(\frac{x+y}{2}\right)=g\left(x)+g(y),\end ...
Donganont Siriluk, Park Choonkil
doaj +1 more source
A Note on Derivations of Lie Algebras
In this note, we will prove that a finite dimensional Lie algebra $L$ of characteristic zero, admitting an abelian algebra of derivations $D\leq Der(L)$ with the property $$ L^n\subseteq \sum_{d\in D}d(L) $$ for some $n\geq 1$, is necessarily solvable ...
Shahryari, Mohammad
core
Hydroclimatic and cultural instability in northeastern North America during the last millennium. [PDF]
Stager JC +5 more
europepmc +1 more source
Analysis of trabecular distribution of the proximal femur in patients with fragility fractures. [PDF]
Lu Y +5 more
europepmc +1 more source
Distinct frontal and amygdala correlates of change detection for facial identity and expression. [PDF]
Achaibou A, Loth E, Bishop SJ.
europepmc +1 more source
Structural and functional consequences of the Milano mutation (R173C) in human apolipoprotein A-I. [PDF]
Alexander ET +5 more
europepmc +1 more source
Commentary to: Generalized derivations of Lie triple systems
Kaygorodov Ivan, Popov Yury
doaj +1 more source
Measurement of turbulent kinetic energy with colour Doppler echocardiography and particle tracing velocimetry in an ex-vivo aortic stenosis model. [PDF]
Buffle E +11 more
europepmc +1 more source

