Towards the Green correspondence for supergroups

Inna Entova-Aizenbud; Vera Serganova; Alexander Sherman

doi:10.1016/j.jpaa.2026.108277

Towards the Green correspondence for supergroups

Inna Entova-Aizenbud
, Vera Serganova
, Alexander Sherman

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Article number	108277
Journal	Journal of Pure and Applied Algebra
Volume	230
Issue number	6
DOIs	https://doi.org/10.1016/j.jpaa.2026.108277
State	Published - 1 Jun 2026

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/j.jpaa.2026.108277

Cite this

@article{0d15ec7dc22d47fc9f0d6311ecded12e,

title = "Towards the Green correspondence for supergroups",

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

author = "Inna Entova-Aizenbud and Vera Serganova and Alexander Sherman",

note = "Publisher Copyright: Copyright {\textcopyright} 2026. Published by Elsevier B.V.",

year = "2026",

month = jun,

day = "1",

doi = "10.1016/j.jpaa.2026.108277",

language = "English",

volume = "230",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier B.V.",

number = "6",

}

TY - JOUR

T1 - Towards the Green correspondence for supergroups

AU - Entova-Aizenbud, Inna

AU - Serganova, Vera

AU - Sherman, Alexander

PY - 2026/6/1

Y1 - 2026/6/1

N2 - We prove a version of Green's correspondence for complex algebraic supergroups, constructing a correspondence between certain indecomposable representations of G and the normalizer of a Sylow subgroup of G .

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

UR - https://www.scopus.com/pages/publications/105037726504

U2 - 10.1016/j.jpaa.2026.108277

DO - 10.1016/j.jpaa.2026.108277

M3 - Article

SN - 0022-4049

VL - 230

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 6

M1 - 108277

ER -

Towards the Green correspondence for supergroups

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this