Tootfinder

Howe duality for the dual pair $\left(\mathfrak{spo}(2n|1)\,, \mathfrak{osp}(2|2)\right)$
Roman Lavicka, Allan Merino
https://arxiv.org/abs/2506.04075 http…

Howe duality for the dual pair $\left(\mathfrak{spo}(2n|1)\,, \mathfrak{osp}(2|2)\right)$
The goal of our work is to study the decomposition of the joint action of $\mathfrak{g} = \mathfrak{spo}(2n|1)$ and $\mathfrak{g}' = \mathfrak{osp}(2|2)$ on the supersymmetric algebra S = S($\mathbb{C}^{2n|1} \otimes \mathbb{C}^{1|1}$). As proved by Merino and Salmasian, we have a one-to-one correspondence between irreducible representations of $\mathfrak{g}$ and $\mathfrak{g}'$ appearing as subrepresentations of S. In this paper, we obtained an explicit description of the h…

Studie: Apple kassiert nur bei 10 Prozent der App-Umsätze mit
Mit einer Studie tritt Apple dem Eindruck dagegen, dass beim iPhone überall mitverdient wird. Zugleich wird der Wirtschaftsfaktor App-Ökosystem aufgezeigt.

Bounded powers of edge ideals: The strong exchange property
Takayuki Hibi, Seyed Amin Seyed Fakhari
https://arxiv.org/abs/2506.03480 https://

Bounded powers of edge ideals: The strong exchange property
Let $S=K[x_1, \ldots,x_n]$ denote the polynomial ring in $n$ variables over a field $K$ and $I \subset S$ a monomial ideal. Given a vector $\mathfrak{c}\in\mathbb{Z}_{>0}^n$, the ideal $I_{\mathfrak{c}}$ is the ideal generated by those monomials belonging to $I$ whose exponent vectors are componentwise bounded above by $\mathfrak{c}$. Let $δ_{\mathfrak{c}}(I)$ be the largest integer $q$ for which $(I^q)_{\mathfrak{c}}\neq 0$. Let $I(G) \subset S$ denote the edge ideal of a finite graph $G$ on …

Happy #MayTheForthBeWithYou
https://www.youtube.com/watch?v=NEMRsGOCJy0

Maximizing the Promptness of Metaverse Systems using Edge Computing by Deep Reinforcement Learning
Tam Ninh Thi-Thanh, Trinh Van Chien, Hung Tran, Nguyen Hoai Son, Van Nhan Vo
https://arxiv.org/abs/2506.02657

Maximizing the Promptness of Metaverse Systems using Edge Computing by Deep Reinforcement Learning
Metaverse and Digital Twin (DT) have attracted much academic and industrial attraction to approach the future digital world. This paper introduces the advantages of deep reinforcement learning (DRL) in assisting Metaverse system-based Digital Twin. In this system, we assume that it includes several Metaverse User devices collecting data from the real world to transfer it into the virtual world, a Metaverse Virtual Access Point (MVAP) undertaking the processing of data, and an edge computing ser…

This https://arxiv.org/abs/2503.22664 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Identities of relatively free algebras of Lie nilpotent associative algebras
In this paper, we consider the relatively free algebra of rank $n$, $F_n(\mathfrak{N}_p)$, in the variety of Lie nilpotent associative algebras of index $p$, denoted by $\mathfrak{N}_p$, over a field of characteristic zero. We describe an explicit minimal basis for the polynomial identities of $F_n(\mathfrak{N}_p)$ when $p=3$ and $p=4$, for all $n$, except for $F_3(\mathfrak{N}_4)$. In the general case, we exhibit a lower and an upper bound for the minimal $k$ such that $[x_1,x_2]\cdots[x_{2k-1…

Die Botschaft, die ich aus Brüssel vom Treffen der Stromkonzerne mitbringe, ist verstörend:
Wenn auch nur ein Bruchteil des KI Energieverbrauchs entsteht, der heute prognostiziert wird, können wir die Bemühungen um Stromeinsparungen auch gleich einstellen. Das wären nicht einmal Peanuts. Dort wird in Atomkraftwerken gedacht. Was aber wird aus dem Klimaschutz?
#PowerSummit25

2-Homogeneous bipartite distance-regular graphs and the quantum group $U^\prime_q(\mathfrak{so}_6)$
Paul Terwilliger
https://arxiv.org/abs/2506.02190 https…

2-Homogeneous bipartite distance-regular graphs and the quantum group $U^\prime_q(\mathfrak{so}_6)$
We consider a 2-homogeneous bipartite distance-regular graph $Γ$ with diameter $D \geq 3$. We assume that $Γ$ is not a hypercube nor a cycle. We fix a $Q$-polynomial ordering of the primitive idempotents of $Γ$. This $Q$-polynomial ordering is described using a nonzero parameter $q \in \mathbb C$ that is not a root of unity. We investigate $Γ$ using an $S_3$-symmetric approach. In this approach one considers $V^{\otimes 3} = V \otimes V \otimes V$ where $V$ is the standard module of $Γ$. W…

This looks very cool.
'OpenAIRE in collaboration with Area Science Park organizes a hands-on workshop titled “Where LEGO Meets FAIR Data,” designed to introduce the principles of FAIR data through a creative, interactive simulation using LEGO metaphors.'
https://www.

Utländsk påverkansoperation misstänks bakom färgattack mot synagogor i Paris. https://www.dn.se/varlden/utlandsk-paverkansoperation-misstanks-bakom-fargattack-mot-synagogor/

Utländsk påverkansoperation tros bakom färgattack i Paris
Utländsk påverkansoperation misstänks bakom färgattack mot synagogor i Paris – tre serbiska medborgare har gripits