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A generalized Steinberg section and branching rules for quantum groups at roots of 1

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Corrado De Concini, Andrea Maffei

Representation Theory · Submitted 1 Jul 2011

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

The authors' main claim In this paper we construct a generalization of the classical Steinberg section for the quotient map of a semisimple group with respect to the conjugation action.

how it is stated · asserted 1.00 read the record →

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arXiv ID1107.0248 (version 2)
Pith IDFFJEKETX, Pith's permanent record of this paper and its review
CitationAndrea Maffei, Corrado De Concini. "A generalized Steinberg section and branching rules for quantum groups at roots of 1." arXiv:1107.0248 (2011). https://pith.science/paper/FFJEKETX
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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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,312 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.38 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

In this paper we construct a generalization of the classical Steinberg section for the quotient map of a semisimple group with respect to the conjugation action. We then give various applications of our construction including the construction of a sort of Gelfand Zetlin basis for a generic irreducible representation of quantum GL(n) at odd roots of unity.

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 In this paper we construct a generalization of the classical Steinberg section for the quotient map of a semisimple group with respect to the conjugation action. contribution 1.00 0.96 0.48 asserted 1.00
s1 We then give various applications of our construction including the construction of a sort of Gelfand Zetlin basis for a generic irreducible representation of quantum GL(n) at odd roots of unity. contribution 0.81 0.95 0.26 asserted 0.98

What kind of paper the classifier reports this is: theoretical result 0.83 · evidence from proof or derivation 1.00.

What was examined, and what was not

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  • arXiv listing abstract v2
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

In this paper we construct a generalization of the classical Steinberg section for the quotient map of a semisimple group with respect to the conjugation action. We then give various applications of our construction including the construction of a sort of Gelfand Zetlin basis for a generic irreducible representation of quantum GL(n) at odd roots of unity.

Human review

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How the literature uses it

3 arXiv papers cite this in 6 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 5 sentences without a confident label

Cites it as background 1 paper
  • More recently, the representation theory of these algebras has been studied in [ref] , where the analysis of branching rules for representations associated with regular conjugacy classes has been carried over.

    Induced conjugacy classes and induced U_e(G)-modules · Introduction · 0.89

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