Categorified trace for module tensor categories over braided tensor categories by Henriques, A, Penneys, D, Tener, J

“…Given a braided pivotal category C and a pivotal module tensor categoryM, we define a functor TrC :M→ C, called the associated categorified trace. …”

A general theory of linear cosmological perturbations: scalar-tensor and vector-tensor theories by Lagos, M, Baker, T, Ferreira, P, Noller, J

“…In this paper, we focus on scalar-tensor and vector-tensor theories, invariant under linear coordinate transformations. …”

Integrability and braided tensor categories by Fendley, P

“…I find them naturally and much more generally using a braided tensor category, a topological structure arising in knot invariants, anyons and conformal field theory. …”

The Eliassen-Palm flux tensor by Maddison, JR, Marshall, D

“…The aim of this paper it to derive general coordinate-invariant forms of the Eliassen-Palm flux tensor and thereby characterize the true geometric nature of the eddy-mean-flow interaction in hydrostatic Boussinesq rotating fluids. …”

Categorical Tensor Network States by Biamonte, J, Clark, SR, Jaksch, D

“…This general framework of categorical tensor network states, where a combination of generic and algebraically defined tensors appear, enhances the theory of tensor network states.…”

The tensor network theory library by Al-Assam, S, Clark, SR, Jaksch, D

“…In this technical paper we introduce the tensor network theory (TNT) library - an open-source software project aimed at providing a platform for rapidly developing robust, easy to use and highly optimised code for TNT calculations. …”

Validation of diffusion tensor MRI measurements of cardiac microstructure with structure tensor synchrotron radiation imaging by Teh, I, McClymont, D, Zdora, M, Whittington, H, Davidoiu, V, Lee, J, Lygate, C, Rau, C, Zanette, I, Schneider, J

“…BACKGROUND: Diffusion tensor imaging (DTI) is widely used to assess tissue microstructure non-invasively. …”

Planar algebras in braided tensor categories by Henriques, A, Penneys, D, Tener, J

Duality of graphical models and tensor networks by Robeva, E, Seigal, A

“…We study tensor networks on hypergraphs, which we call tensor hypernetworks. …”

The balanced tensor product of module categories by Douglas, C, Schommer-Pries, C, Snyder, N

“…The balanced tensor product M⊗AN of two modules over an algebra A is the vector space corepresenting A-balanced bilinear maps out of the product M×N. …”

SYMMETRIZED TENSOR PRODUCTS OF INDUCED REPRESENTATIONS by Hannabuss, K

Singular vectors of orthogonally decomposable tensors by Robeva, E, Seigal, A

“…Orthogonal decomposition of tensors is a generalization of the singular value decomposition of matrices. …”

Robustness of inflation to large tensor perturbations by Clough, K, Flauger, R, Lim, E

Tensor triangular geometry of filtered modules by Gallauer, M

“…We compute the tensor triangular spectrum of perfect complexes of filtered modules over a commutative ring and deduce a classification of the thick tensor ideals. …”

Conformal invariance of the Newtonian Weyl tensor by Dewar, N, Read, J

“…We show that the Newtonian Weyl tensor is an invariant of this structure.…”

Learning paths from signature tensors by Pfeffer, M, Seigal, A, Sturmfels, B

Gram determinants of real binary tensors by Seigal, A

“…A binary tensor consists of 2 n entries arranged into hypercube format 2 × 2 × ⋯ × 2. …”

Endoscopy and the automorphic tensor product on the unitary group by White, P

“…Ramakrishnan and Kim-Shahidi have proved the existence of the automorphic tensor product for $GL_2 \times GL_2$ and $GL_2 \times GL_3$. …”

The irreducible components of homogeneous functions and symmetric tensors by Hannabuss, K

“…Explicit algebraic formulae are found which show how to decompose a homogeneous function in terms of spherical harmonics, or a symmetric tensor in terms of parts irreducible under rotations. © 1994 by Academic Press Inc. …”

A few cosmological implications of tensor nonlocalities by Ferreira, P, Maroto, A

“…We consider nonlocal gravity theories that include tensor nonlocalities. We show that in the cosmological context, the tensor nonlocalities, unlike scalar ones, generically give rise to growing modes. …”