Zobrazeno 1 - 10
of 1 864
pro vyhledávání: '"P. Van Daele"'
Autor:
Van Daele, Alfons
Let $A$ be an algebra with identity and $\Delta:A\to A\otimes A$ a coproduct that admits a counit. If there exist a faithful left integral and a faithful right integral, one can construct an antipode and $(A,\Delta)$ is a Hopf algebra. This is the La
Externí odkaz:
http://arxiv.org/abs/2404.15046
Autor:
Van Daele, Alfons
Let $A$ be a non-degenerate algebra over the complex numbers and $\Delta$ a homomorphism from $A$ to the multiplier algebra $M(A\otimes A)$. Consider the linear maps $T_1$ and $T_2$ from $A\otimes A$ to $M(A\otimes A)$ defined by \begin{equation*} T_
Externí odkaz:
http://arxiv.org/abs/2403.06863
Short videos on platforms such as TikTok, Instagram Reels, and YouTube Shorts (i.e. short-form videos) have become a primary source of information and entertainment. Many short-form videos are inaccessible to blind and low vision (BLV) viewers due to
Externí odkaz:
http://arxiv.org/abs/2402.10382
Autor:
Van Daele, Alfons
A coproduct on a vector space $A$ is defined as a linear map $\Delta:A\to A\otimes A$ satisfying coassociativity $(\Delta\otimes\iota)\Delta=(\iota\otimes\Delta)\Delta$. We use $\iota$ for the identity map. If $G$ is a finite group and if $A$ is the
Externí odkaz:
http://arxiv.org/abs/2402.00476
Understanding the combined effects of climate change and habitat fragmentation on the adaptive potential of plant populations is essential for devising effective conservation strategies. This is particularly important where mating system variation im
Externí odkaz:
http://arxiv.org/abs/2310.16004
Autor:
Landstad, Magnus B., Van Daele, Alfons
Consider a locally compact group $G$ and a locally compact space $X$. A local right action of $G$ on $X$ is a continuous map $(x,p)\mapsto x\cdot p$ from an open subset $\Gamma$ of the Cartesian product $X\times G$ to $X$ satisfying certain obvious p
Externí odkaz:
http://arxiv.org/abs/2309.08319
Autor:
Maarten Van Daele, Ben Van Bastelaere, Jens De Clercq, Inka Meyer, Maaike Vercauteren, Jana Asselman
Publikováno v:
Communications Earth & Environment, Vol 5, Iss 1, Pp 1-10 (2024)
Abstract The scale of microplastic pollution in river sediments is gradually being elucidated through an increasing number of large-scale studies. Nevertheless, microplastic distribution within a riverbed – a crucial aspect for quantification – r
Externí odkaz:
https://doaj.org/article/7b755826fa424b8da9b3a417807e0c15
Autor:
Van Daele, Alfons
This is the last part of a series of three papers on the subject. In the first part we have considered the duality of algebraic quantum groups. In that paper, we use the term algebraic quantum group for a regular multiplier Hopf algebra with integral
Externí odkaz:
http://arxiv.org/abs/2304.13523
Autor:
Van Daele, Alfons
In the paper Algebraic quantum groups and duality I, we consider a pairing $(a,b)\mapsto\langle a,b\rangle$ of regular multiplier Hopf algebras $A$ and $B$. When $A$ has integrals and when $B$ is the dual of $A$, we can describe the duality with an e
Externí odkaz:
http://arxiv.org/abs/2304.13482
Autor:
Van Daele, Alfons
Let $(A,\Delta)$ be a finite-dimensional Hopf algebra. The linear dual $B$ of $A$ is again a finite-dimensional Hopf algebra. The duality is given by an element $V\in B\otimes A$, defined by $\langle V,a\otimes b\rangle=\langle a,b\rangle$ where $a\i
Externí odkaz:
http://arxiv.org/abs/2304.13448