Extensions of the constant family of Harish–Chandra pairs of SL2(ℝ)

In this paper, we study and classify algebraic families of Harish–Chandra pairs [Formula: see text] over the complex affine line and over the complex projective line, with [Formula: see text] a constant family of groups, such that the restriction of [Formula: see text] to [Formula: see text] is isomorphic to the constant family whose fiber is given by the Harish–Chandra pair of [Formula: see text].

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2025-10-31
DOI
https://doi.org/10.1142/s0219498827500629
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
0.00
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article

Extensions of the constant family of Harish–Chandra pairs of SL2(ℝ)

Eyal Subag
Journal of Algebra and Its Applications
Advanced Algebra and Geometry
article

Extensions of the constant family of Harish–Chandra pairs of SL2(ℝ)

Eyal Subag
article en

Abstract

In this paper, we study and classify algebraic families of Harish–Chandra pairs [Formula: see text] over the complex affine line and over the complex projective line, with [Formula: see text] a constant family of groups, such that the restriction of [Formula: see text] to [Formula: see text] is isomorphic to the constant family whose fiber is given by the Harish–Chandra pair of [Formula: see text].

Journal of Algebra and Its Applications
Bar-Ilan University (IL)
Openalex Percentile: Top 61%
Advanced Algebra and Geometry
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Extensions of the constant family of Harish–Chandra pairs of SL2(ℝ) — Eyal Subag · Journal of Algebra and Its Applications (2025) | TGRS Research Map | TGRS