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The square integrable representations on generalized Weyl-Heisenberg groups

Representation Theory · Submitted 17 Feb 2021

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

The authors' main claim This paper presents the square integrable representations of generalized Weyl-Heisenberg group.

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arXiv ID2102.08719 (version 1)
Pith IDQD4TA7BD, Pith's permanent record of this paper and its review
CitationFatemeh Esmaeelzadeh. "The square integrable representations on generalized Weyl-Heisenberg groups." arXiv:2102.08719 (2021). https://pith.science/paper/QD4TA7BD
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,413 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.04 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.04 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

This paper presents the square integrable representations of generalized Weyl-Heisenberg group. We investigate the quasi regular representation of generalized Weyl-Heisenberg group. Moreover, we obtain a concrete from for admissible vector of this representation. Finally, we provide some examples to support our technical considerations.

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 This paper presents the square integrable representations of generalized Weyl-Heisenberg group. contribution 0.94 0.91 0.62 asserted 1.00
s1 We investigate the quasi regular representation of generalized Weyl-Heisenberg group. contribution 0.97 0.93 0.07 asserted 0.96
s2 Moreover, we obtain a concrete from for admissible vector of this representation. result 0.84 0.95 0.25 asserted 1.00
s3 Finally, we provide some examples to support our technical considerations. contribution 0.75 0.94 0.06 asserted 0.99

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

What was examined, and what was not

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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

This paper presents the square integrable representations of generalized Weyl-Heisenberg group. We investigate the quasi regular representation of generalized Weyl-Heisenberg group. Moreover, we obtain a concrete from for admissible vector of this representation. Finally, we provide some examples to support our technical considerations.

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