Tootfinder

Sonnenaufgang im #Flixbus und Frühstück im Pariser Café. Bisher ist viel Geduld angesagt bei #MeinCamino2025
Ich lese:
* Bibel (DBG App)
* Der Klang (M. Schleske, digital)
* Die Kraft eines fokussierten Lebens (J. Hartl, digital)
* L'amore mio non muore (Roberto S…

Antimagic labelings of a complete graph
Dr A. N. Bhavale
https://arxiv.org/abs/2506.15221 https://arxiv.org/pdf/2506.15221

Antimagic labelings of a complete graph
In $1990$, Hartsfield and Ringel introduced antimagic graphs. Hartsfield and Ringel conjectured that every connected graph (and in particular, a tree) except $K_2$ is antimagic. In $2010$, Hefetz et al.\ raised two questions: Is every orientation of any simple connected undirected graph antimagic? and Given any undirected graph $G$, does there exist an orientation of $G$ which is antimagic? They call such an orientation an {\it antimagic orientation} of $G$. Recently, Bhavale provided an edge l…

Parabolic Stabilization and Cutting for Reduction Superalgebras
Jonas T. Hartwig
https://arxiv.org/abs/2507.21595 https://arxiv.org/pdf/2507.21595

Parabolic Stabilization and Cutting for Reduction Superalgebras
The diagonal reduction algebra of a reductive Lie algebra $\mathfrak{g}$ is a localization of the Mickelsson algebra associated to the symmetric pair $(\mathfrak{g}\times\mathfrak{g},\, \mathfrak{g})$. In 2010, Khoroshkin and Ogievetsky introduced the methods of stabilization and cutting, which relate the commutation relations in the diagonal reduction algebra of $\mathfrak{gl}_m\oplus\mathfrak{gl}_n$ with those in the diagonal reduction algebra of $\mathfrak{gl}_{m+n}$. We extend this method t…