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Full chains of twists for orthogonal algebras

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Petr P. Kulish, Vladimir D. Lyakhovsky, Alexander A. Stolin

Quantum Algebra · Submitted 5 Aug 2000

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

The authors' main claim We show that for some Hopf subalgebras in U_F(so(M)) nontrivially deformed by a twist F it is possible to find the nonlinear primitive copies.

how it is stated · asserted 0.67 read the record →

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arXiv IDmath/0008044 (version 1)
Pith ID5AK7EPQ5, Pith's permanent record of this paper and its review
CitationAlexander A. Stolin, Petr P. Kulish, Vladimir D. Lyakhovsky. "Full chains of twists for orthogonal algebras." arXiv:math/0008044 (2000). https://pith.science/paper/5AK7EPQ5
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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,539 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.19 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.16 · compares with prior results 0.30 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We show that for some Hopf subalgebras in U_F(so(M)) nontrivially deformed by a twist F it is possible to find the nonlinear primitive copies. This enlarges the possibilities to construct chains of twists. For orthogonal algebra U(so(M)) we present a method to compose the full chains with carrier space as large as the Borel subalgebra B(so(M)). These chains can be used to construct the new deformed Yangians.

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 We show that for some Hopf subalgebras in U_F(so(M)) nontrivially deformed by a twist F it is possible to find the nonlinear primitive copies. result 0.86 0.94 0.53 asserted 0.67
s1 This enlarges the possibilities to construct chains of twists. interpretation 0.94 0.69 0.13 asserted 0.84
s2 For orthogonal algebra U(so(M)) we present a method to compose the full chains with carrier space as large as the Borel subalgebra B(so(M)). contribution 0.59 0.91 0.37 asserted 1.00
s3 These chains can be used to construct the new deformed Yangians. interpretation 0.72 0.61 0.27 hedged possibility 0.51

What kind of paper the classifier reports this is: method or tool 0.51 · evidence from proof or derivation 1.00.

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
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  • 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

We show that for some Hopf subalgebras in U_F(so(M)) nontrivially deformed by a twist F it is possible to find the nonlinear primitive copies. This enlarges the possibilities to construct chains of twists. For orthogonal algebra U(so(M)) we present a method to compose the full chains with carrier space as large as the Borel subalgebra B(so(M)). These chains can be used to construct the new deformed Yangians.

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