Derived smooth induction with applications

Abstract In natural characteristic, smooth induction from an open subgroup does not always give an exact functor. In this article we initiate a study of the right derived functors, and we give applications to the nonexistence of projective representations and duality.

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Publication Details

Journal
Journal of the London Mathematical Society
Published
2025-04-01
DOI
https://doi.org/10.1112/jlms.70157
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00
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article

Derived smooth induction with applications

Claus Sorensen, Peter Schneider
Journal of the London Mathematical Society
Algebraic structures and combinatorial models
article

Derived smooth induction with applications

Claus Sorensen, Peter Schneider
article en

Abstract

Abstract In natural characteristic, smooth induction from an open subgroup does not always give an exact functor. In this article we initiate a study of the right derived functors, and we give applications to the nonexistence of projective representations and duality.

Journal of the London Mathematical SocietyVol. 111(4)
University of Münster (DE), University of California San Diego (US)
Openalex Percentile: Top 87%
Algebraic structures and combinatorial models
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Derived smooth induction with applications — Claus Sorensen, Peter Schneider · Journal of the London Mathematical Society (2025) | TGRS Research Map | TGRS