» Chevalley--Monk formulas for bow varieties
24/05/24 19:12 from math.RT updates on arXiv.org
arXiv:2310.11235v2 Announce Type: replace-cross Abstract: We prove a formula for the multiplication of equivariant first Chern classes of tautological bundles of type A bow varieties with respect to the stable envelope basis. This formul...

» Multiplication Operators on Hilbert Spaces
24/05/24 19:12 from math.FA updates on arXiv.org
arXiv:2403.12992v2 Announce Type: replace Abstract: Let $S$ be a subnormal operator on a separable complex Hilbert space $\mathcal H$ and let $\mu$ be the scalar-valued spectral measure for the minimal normal extension $N$ of $S.$ Let $R...

» Discovering Abstract Symbolic Relations by Learning Unitary Group Representations
24/05/24 19:12 from math.RT updates on arXiv.org
arXiv:2402.17002v4 Announce Type: replace-cross Abstract: We investigate a principled approach for symbolic operation completion (SOC), a minimal task for studying symbolic reasoning. While conceptually similar to matrix completion, SOC ...

» Generalized de Branges-Rovnyak spaces
24/05/24 19:12 from math.FA updates on arXiv.org
arXiv:2405.07016v2 Announce Type: replace Abstract: Given the reproducing kernel $k$ of the Hilbert space $\mathcal{H}_k$ we study spaces $\mathcal{H}_k(b)$ whose reproducing kernel has the form $k(1-bb^*)$, where $b$ is a row-contractio...

» The CCAP for graph products of operator algebras
24/05/24 19:12 from math.FA updates on arXiv.org
arXiv:2211.07323v2 Announce Type: replace-cross Abstract: For a simple graph $\Gamma$ and for unital $C^*$-algebras with GNS-faithful states $(\mathbf{A}_v,\varphi_v)$ for $v\in V\Gamma$, we consider the reduced graph product $(\mathcal{...

» Global Representation Ring and Knutson Index
24/05/24 19:12 from math.RT updates on arXiv.org
arXiv:2403.18498v4 Announce Type: replace-cross Abstract: Global representation rings were discovered by Sarah Witherspoon in 1995 and the Knutson Index was introduced by the second author in 2022. In the present paper we introduce the K...

» Randomized approximation of summable sequences -- adaptive and non-adaptive
24/05/24 19:12 from math.FA updates on arXiv.org
arXiv:2308.01705v3 Announce Type: replace-cross Abstract: We prove lower bounds for the randomized approximation of the embedding $\ell_1^m \rightarrow \ell_\infty^m$ based on algorithms that use arbitrary linear (hence non-adaptive) inf...

» $p$-adic Hodge parameters in the crystabelline representations of $\mathrm{GL}_3(\mathbb{Q}_p)$
24/05/24 19:12 from math.RT updates on arXiv.org
arXiv:2404.16657v2 Announce Type: replace-cross Abstract: We build a one-to-one correspondence between $3$-dimensional (generic) crystabelline representations of the absolute Galois group of $\mathbb{Q}_p$ and certain locally analytic re...

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