October 2, 2025Open Access

Towards the Green correspondence for supergroups

Key Points

The study establishes a new version of the green correspondence for complex algebraic supergroups.
It constructs a correspondence between indecomposable representations of G and the normalizer of a Sylow subgroup.
This research shows the intricate relationship between group representations and their subgroup structures.
The findings provide insights necessary for understanding representation theory in algebraic supergroups.

Abstract

We prove a version of the Green correspondence for complex algebraic supergroups, constructing a correspondence between certain indecomposable representations of G and the normalizer of a Sylow subgroup of G.

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Cite This Study

Entova-Aizenbud et al. (Mon,) studied this question.

synapsesocial.com/papers/68de5da783cbc991d0a20d39 https://doi.org/https://doi.org/10.48550/arxiv.2507.09912

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