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Comments on the Matrix Representations of Quaternions

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Gisele Ducati

Rings and Algebras · Submitted 20 Oct 2003

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show that these matrices are related with the quaternionic action of the imaginary units from the left and from the right.

how it is stated · asserted 1.00 read the record →

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arXiv IDmath/0310319 (version 1)
Pith ID4QCNEGCT, Pith's permanent record of this paper and its review
CitationGisele Ducati. "Comments on the Matrix Representations of Quaternions." arXiv:math/0310319 (2003). https://pith.science/paper/4QCNEGCT
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,214 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.06 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.07 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Some comments are made on the matrices which serve as the basis of a quaternionic algebra. We show that these matrices are related with the quaternionic action of the imaginary units from the left and from the right.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Some comments are made on the matrices which serve as the basis of a quaternionic algebra. contribution 0.64 0.78 0.10 asserted 0.81
s1 We show that these matrices are related with the quaternionic action of the imaginary units from the left and from the right. result 0.86 0.90 0.68 asserted 1.00

What kind of paper the classifier reports this is: position or commentary 0.82 · evidence from proof or derivation 0.93.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Some comments are made on the matrices which serve as the basis of a quaternionic algebra. We show that these matrices are related with the quaternionic action of the imaginary units from the left and from the right.

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