Paper Citation Record · LEDGER

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces

As of 14 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2412.18263.

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pith.paper-citation-record.v1
2412.18263 v7

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measured 41 of 41 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

41 of 41 outbound references displayed

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Outbound references

Observation 28a3591f-2a20-43f9-a5b7-d00007bc43d2 · outbound

This paper cites A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch--Gordan coefficients.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch--Gordan coefficients

Reference 1

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High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Unresolved cited work

Reference 2

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This paper cites Irreducible fourth-rank Cartesian tensors.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Irreducible fourth-rank Cartesian tensors

Reference 3

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This paper cites MACE : Higher order equivariant message passing neural networks for fast and accurate force fields.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces MACE : Higher order equivariant message passing neural networks for fast and accurate force fields

Reference 4

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This paper cites E(3)-equivariant graph neural networks for data-efficient and accurate interatomic potentials.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces E(3)-equivariant graph neural networks for data-efficient and accurate interatomic potentials

Reference 5

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Observation 114bd4e9-0a21-4aad-93f2-091a4c5621e8 · outbound

This paper cites Irreducible Cartesian tensor decomposition: A computational approach.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Irreducible Cartesian tensor decomposition: A computational approach

Reference 6

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This paper cites On algebras which are connected with the semisimple continuous groups.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces On algebras which are connected with the semisimple continuous groups

Reference 7

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This paper cites Representations of compact Lie groups, volume 98.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Representations of compact Lie groups, volume 98

Reference 8

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This paper cites Cartesian atomic cluster expansion for machine learning interatomic potentials.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Cartesian atomic cluster expansion for machine learning interatomic potentials

Reference 9

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Observation 021c3847-41da-41f5-9034-ed8a5053aee9 · outbound

This paper cites u tt, and Klaus-Robert M \.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces u tt, and Klaus-Robert M \

Reference 10

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This paper cites Group equivariant convolutional networks.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Group equivariant convolutional networks

Reference 11

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Observation f0f4b00e-1863-415e-81fa-69a05ca2d4ac · outbound

This paper cites Irreducible Cartesian tensors.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Irreducible Cartesian tensors

Reference 12

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This paper cites Orthonormal decomposition of third rank tensors and applications.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Orthonormal decomposition of third rank tensors and applications

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:56:07.988552Z

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Observation 805a67cc-c992-46fa-806f-30276c854119 · outbound

This paper cites Atomic cluster expansion for accurate and transferable interatomic potentials.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Atomic cluster expansion for accurate and transferable interatomic potentials

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:56:07.979817Z

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Observation 259b42f8-4727-4100-aece-3e6bad9ef6e6 · outbound

This paper cites A practical method for constructing equivariant multilayer perceptrons for arbitrary matrix groups.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces A practical method for constructing equivariant multilayer perceptrons for arbitrary matrix groups

Reference 15

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Observation 6a3a94f4-b114-430c-81fb-8ebd833b15e6 · outbound

This paper cites Forces are not enough: Benchmark and critical evaluation for machine learning force fields with molecular simulations.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Forces are not enough: Benchmark and critical evaluation for machine learning force fields with molecular simulations

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:56:07.965550Z

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Observation c245bd52-e482-414f-810b-e2674a9ac1aa · outbound

This paper cites Directional message passing for molecular graphs.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Directional message passing for molecular graphs

Reference 17

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Observation 1caa29ce-3e57-417a-8a61-9031aa613832 · outbound

This paper cites Gemnet: Universal directional graph neural networks for molecules.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Gemnet: Universal directional graph neural networks for molecules

Reference 18

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High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Neural message passing for quantum chemistry

Reference 19

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High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces A new model for learning in graph domains

Reference 20

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This paper cites Group theory and its applications in physics, volume 78.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Group theory and its applications in physics, volume 78

Reference 21

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High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Clebsch-- G ordan nets: a fully F ourier space spherical convolutional neural network

Reference 22

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High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Backpropagation applied to handwritten zip code recognition

Reference 23

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High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Equiformerv2: Improved equivariant transformer for scaling to higher-degree representations

Reference 24

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This paper cites Equalities and inequalities for ranks of matrices.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Equalities and inequalities for ranks of matrices

Reference 25

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This paper cites Addition or arbitrary number of identical angular momenta.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Addition or arbitrary number of identical angular momenta

Reference 26

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This paper cites Learning local equivariant representations for large-scale atomistic dynamics.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Learning local equivariant representations for large-scale atomistic dynamics

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:56:07.886069Z

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This paper cites An Algorithm for Computing with Brauer's Group Equivariant Neural Network Layers.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces An Algorithm for Computing with Brauer's Group Equivariant Neural Network Layers

Reference 28

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High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Brauer’s group equivariant neural networks

Reference 29

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High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Theory of complex spectra

Reference 30

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This paper cites Enumeration of 166 billion organic small molecules in the chemical universe database gdb-17.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Enumeration of 166 billion organic small molecules in the chemical universe database gdb-17

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:56:07.864005Z

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This paper cites u tt, Pieter-Jan Kindermans, Huziel Enoc Sauceda Felix, Stefan Chmiela, Alexandre Tkatchenko, and Klaus-Robert M \.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces u tt, Pieter-Jan Kindermans, Huziel Enoc Sauceda Felix, Stefan Chmiela, Alexandre Tkatchenko, and Klaus-Robert M \

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:56:07.856504Z

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This paper cites Equivariant message passing for the prediction of tensorial properties and molecular spectra.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Equivariant message passing for the prediction of tensorial properties and molecular spectra

Reference 33

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This paper cites Tensornet: Cartesian tensor representations for efficient learning of molecular potentials.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Tensornet: Cartesian tensor representations for efficient learning of molecular potentials

Reference 34

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This paper cites Broadening the Scope of Neural Network Potentials through Direct Inclusion of Additional Molecular Attributes.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Broadening the Scope of Neural Network Potentials through Direct Inclusion of Additional Molecular Attributes

Reference 35

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Observation c4c9c0ab-2f20-4d66-8d29-77186a27a550 · outbound

This paper cites Irreducible Cartesian Tensors , volume 43.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Irreducible Cartesian Tensors , volume 43

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:56:07.832117Z

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This paper cites Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point clouds.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point clouds

Reference 37

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This paper cites Equivariant diffusion policy.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Equivariant diffusion policy

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:56:07.823559Z

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This paper cites 3 D steerable CNN s: Learning rotationally equivariant features in volumetric data.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces 3 D steerable CNN s: Learning rotationally equivariant features in volumetric data

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:56:07.815779Z

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Observation 92f9f185-9737-4fa4-be94-911f73b9b0f1 · outbound

This paper cites Higher-Rank Irreducible Cartesian Tensors for Equivariant Message Passing.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Higher-Rank Irreducible Cartesian Tensors for Equivariant Message Passing

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-11T04:56:07.750349Z

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This paper cites Orthogonal irreducible decompositions of tensors of high orders.

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces Orthogonal irreducible decompositions of tensors of high orders

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:56:07.808840Z

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