Modules for ℤ/p × ℤ/p

Jon F. Carlson; Eric M. Friedlander; Andrei Suslin

doi:10.4171/CMH/236

Modules for ℤ/p × ℤ/p

Jon F. Carlson, Eric M. Friedlander, Andrei Suslin

Mathematics

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

21 Scopus citations

Abstract

We investigate various aspects of the modular representation theory of ℤ/p × ℤ/p with particular focus on modules of constant Jordan type. The special modules we consider and the constructions we introduce not only reveal some of the structure of (ℤ/p × ℤ/p)-modules but also provide a guide to further study of the representation theory of more general finite group schemes.

Original language	English (US)
Pages (from-to)	609-657
Number of pages	49
Journal	Commentarii Mathematici Helvetici
Volume	86
Issue number	3
DOIs	https://doi.org/10.4171/CMH/236
State	Published - 2011

Keywords

Jordan type
Modular representations

ASJC Scopus subject areas

General Mathematics

Access to Document

10.4171/CMH/236

Cite this

@article{7210a7acf3dd42bcaab84d12a182fa07,

title = "Modules for ℤ/p × ℤ/p",

abstract = "We investigate various aspects of the modular representation theory of ℤ/p × ℤ/p with particular focus on modules of constant Jordan type. The special modules we consider and the constructions we introduce not only reveal some of the structure of (ℤ/p × ℤ/p)-modules but also provide a guide to further study of the representation theory of more general finite group schemes.",

keywords = "Jordan type, Modular representations",

author = "Carlson, {Jon F.} and Friedlander, {Eric M.} and Andrei Suslin",

year = "2011",

doi = "10.4171/CMH/236",

language = "English (US)",

volume = "86",

pages = "609--657",

journal = "Commentarii Mathematici Helvetici",

issn = "0010-2571",

publisher = "European Mathematical Society Publishing House",

number = "3",

}

TY - JOUR

T1 - Modules for ℤ/p × ℤ/p

AU - Carlson, Jon F.

AU - Friedlander, Eric M.

AU - Suslin, Andrei

PY - 2011

Y1 - 2011

N2 - We investigate various aspects of the modular representation theory of ℤ/p × ℤ/p with particular focus on modules of constant Jordan type. The special modules we consider and the constructions we introduce not only reveal some of the structure of (ℤ/p × ℤ/p)-modules but also provide a guide to further study of the representation theory of more general finite group schemes.

AB - We investigate various aspects of the modular representation theory of ℤ/p × ℤ/p with particular focus on modules of constant Jordan type. The special modules we consider and the constructions we introduce not only reveal some of the structure of (ℤ/p × ℤ/p)-modules but also provide a guide to further study of the representation theory of more general finite group schemes.

KW - Jordan type

KW - Modular representations

UR - http://www.scopus.com/inward/record.url?scp=79958076663&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79958076663&partnerID=8YFLogxK

U2 - 10.4171/CMH/236

DO - 10.4171/CMH/236

M3 - Article

AN - SCOPUS:79958076663

SN - 0010-2571

VL - 86

SP - 609

EP - 657

JO - Commentarii Mathematici Helvetici

JF - Commentarii Mathematici Helvetici

IS - 3

ER -

Modules for ℤ/p × ℤ/p

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this