Höhere Algebra

Höhere Mathematik II für die Fachrichtung Physik

Lie triple derivation algebra of Virasoro-like algebra

Let $mathfrak{L}$ be the Virasoro-like algebra and $mathfrak{g}$ itsderived algebra, respectively. We investigate the structure of the Lie triplederivation algebra of $mathfrak{L}$ and $mathfrak{g}$. We provethat they are both isomorphic to $mathfrak{L}$, which provides twoexamples of invariance under triple derivation.

Höhere Mathematik Ii Für Die Fachrichtung Elektrotechnik Und Informationstechnik Inkl. Komplexe Analysis Und Integraltransformationen

Als Koeffizienten in der reellen Form der Fourierreihe a0 2 + ∑∞ k=1(ak cos(kt)+bk sin(kt)) erhält man a0 = 2+ π und ak = ĝ(k)+ ĝ(−k) = 2((−1)k − 1)/(πk2) sowie bk = i(ĝ(k)− ĝ(−k)) = 2(−1)k+1/k. Nun zur Funktion h: Zur Abwechslung berechnen wir diesmal direkt die Koeffizienten ak und bk in der Cosinus/Sinus-Darstellung der Fourierreihe. Da h eine gerade Funktion ist (wegen h(−t) = cos(−12 t) = ...

On dimensions of derived algebra and central factor of a Lie algebra

Some Lie algebra analogues of Schur's theorem and its converses are presented. As a result, it is shown that for a capable Lie algebra L we always have dim L=Z(L) 2(dim(L2))2. We also give give some examples sup- porting our results.

lie triple derivation algebra of virasoro-like algebra

let $mathfrak{l}$ be the virasoro-like algebra and $mathfrak{g}$ itsderived algebra, respectively. we investigate the structure of the lie triplederivation algebra of $mathfrak{l}$ and $mathfrak{g}$. we provethat they are both isomorphic to $mathfrak{l}$, which provides twoexamples of invariance under triple derivation.