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We define and study a certain relative tensor product of subfactors over a modular tensor category. This gives a relative tensor product of two completely rational heterotic full local conformal nets with trivial superselection structures…

Operator Algebras · Mathematics 2017-12-01 Yasuyuki Kawahigashi

This note is propaedeutic to the forthcoming work \cite{sil}; here we develop the terminology and results required by that paper. More specifically we introduce the concept of scalarly essentially integrable locally convex vector-valued…

Functional Analysis · Mathematics 2020-10-07 Benedetto Silvestri

This is the third part in a series of papers developing a tensor product theory for modules for a vertex operator algebra. The goal of this theory is to construct a ``vertex tensor category'' structure on the category of modules for a…

q-alg · Mathematics 2008-02-03 Yi-Zhi Huang , James Lepowsky

We give several equivalent conditions that characterize the 2+2 warped spacetimes: imposing the existence of a Killing-Yano tensor $A$ subject to complementary algebraic restrictions; in terms of the projector $v$ (or of the canonical…

General Relativity and Quantum Cosmology · Physics 2012-04-19 Joan Josep Ferrando , Juan Antonio Sáez

We establish a linearization criterion for skew products of contractions in any dimension. We prove their smooth or holomorphic parameter dependence. In the smooth setting, we use the language of tame Fr\'echet spaces. We apply our result…

Dynamical Systems · Mathematics 2022-10-12 Pierre Berger , Bernhard Reinke

In this paper we deduce new characterizations for bivariate Bessel-Potential spaces defined on the unit square via B-spline quarklets. For that purpose in a first step we use univariate boundary adapted quarklets to describe univariate…

Functional Analysis · Mathematics 2024-03-22 Marc Hovemann

We present an algebraic investigation of generalized and equiaffine curvature tensors in a given pseudo-Euclidean vector space and study different orthogonal, irreducible decompositions in analogy to the known decomposition of algebraic…

Differential Geometry · Mathematics 2009-03-31 P. Gilkey , S. Nikcevic , U. Simon

We derive the implicit equations for certain parametric surfaces in three-dimensional projective space termed tensor product surfaces. Our method computes the implicit equation for such a surface based on the knowledge of the syzygies of…

Commutative Algebra · Mathematics 2019-08-07 Eliana Duarte , Alexandra Seceleanu

We prove a variant of the Chance-McDuff conjecture for pseudo-rotations: under certain additional conditions, a closed symplectic manifold which admits a Hamiltonian pseudo-rotation must have deformed quantum product and, in particular,…

Symplectic Geometry · Mathematics 2019-08-08 Erman Cineli , Viktor L. Ginzburg , Basak Z. Gurel

In this article, we study the problem of the existence and nonexistence of warping function associated with constant scalar curvature on pseudo-Riemannian Poisson warped product space under the assumption that fiber space has constant…

Differential Geometry · Mathematics 2022-02-08 B. Pal , P. Kumar

This is a final step in a local classification of pseudo-Riemannian manifolds with parallel Weyl tensor that are not conformally flat or locally symmetric.

Differential Geometry · Mathematics 2009-03-06 Andrzej Derdzinski , Witold Roter

We prove some probabilistic estimates for tensor products of random vectors. As an application we obtain embeddings of certain matrix spaces into $L_1$.

Functional Analysis · Mathematics 2015-06-11 David Alonso-Gutierrez , Markus Passenbrunner , Joscha Prochno

The present paper deals with the study of warped product pointwise bi-slant submanifolds of Kenmotsu manifolds with an example. The characterization for such submanifold is also discussed. An inequality of such submanifold is obtained and…

Differential Geometry · Mathematics 2018-03-29 Shyamal Kumar Hui , Joydeb Roy , Tanumoy Pal

Over a closed manifold, we consider the sectorial projection of an elliptic pseudo-differential operator A of positive order with two rays of minimal growth. We show that it depends continuously on A when the space of pseudo-differential…

Spectral Theory · Mathematics 2012-03-07 Bernhelm Booss-Bavnbek , Guoyuan Chen , Matthias Lesch , Chaofeng Zhu

Existing pseudo label generation methods for point weakly supervised object detection are inadequate in low data volume and dense object detection tasks. We consider the generation of weakly supervised pseudo labels as the model's sparse…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 Chuyang Shang , Tian Ma , Wanzhu Ren , Yuancheng Li , Jiayi Yang

This paper studies the tensor product of flat cotorsion modules. Let~$R$~and $S$ be~$k$-algebras. We prove that both~$R$-module\ $M$ and~$S$-module\ $N$ are flat cotorsion modules if and only if~$M\otimes_{k} N$ is a flat…

Rings and Algebras · Mathematics 2025-02-27 Yonggang Hu , Linyu Ma , Xintian Wang

The purpose of this note is to show how some results from the theory of partial differential equations apply to the study of pseudo-spectra of non-self-adjoint operators, which is a topic of current interest in applied mathematics.

Analysis of PDEs · Mathematics 2011-11-10 Nils Dencker , Johannes Sjoestrand , Maciej Zworski

Standard projective measurements represent a subset of all possible measurements in quantum physics, defined by positive-operator-valued measures. We study what quantum measurements are projective simulable, that is, can be simulated by…

Quantum Physics · Physics 2017-11-15 Michał Oszmaniec , Leonardo Guerini , Peter Wittek , Antonio Acín

We construct the semi-infinite tensor structure on the semiderived category of quasi-coherent torsion sheaves on an ind-scheme endowed with a flat affine morphism into an ind-Noetherian ind-scheme with a dualizing complex. The semitensor…

Algebraic Geometry · Mathematics 2023-09-21 Leonid Positselski

It is known that the only finite-dimensional diffeological vector space that admits a diffeologically smooth scalar product is the standard space of appropriate dimension. In this note we consider a way to circumnavigate this issue, by…

Differential Geometry · Mathematics 2017-07-31 Ekaterina Pervova
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