Modules of constant Jordan type with small non-projective part

David John Benson

doi:10.1007/s10468-011-9291-5

Modules of constant Jordan type with small non-projective part

David John Benson

Mathematical Science

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

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8 Downloads (Pure)

Abstract

Let E be an elementary abelian p-group of rank r and let k be an algebraically closed field of characteristic p. We prove that if M is a kE-module of stable constant Jordan type [a1]...[at
] with
j
aj
= min(r -1, p-2) then a1
=···=
at
= 1. The proof uses the theory of Chern classes of vector bundles on projective
space.

Original language	English
Pages (from-to)	29-33
Number of pages	5
Journal	Algebras and Representation Theory
Volume	16
Issue number	1
Early online date	11 Jun 2011
DOIs	https://doi.org/10.1007/s10468-011-9291-5
Publication status	Published - Feb 2013

Keywords

modular representation theory
elementary abelian groups
constant Jordan type
vector bundles
Chern classes

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10.1007/s10468-011-9291-5

Modules of constant Jordan type with small non-projective part
The original publication is available at www.springerlink.com Benson, DJ 2013, 'Modules of constant Jordan type with small non-projective part' Algebras and Representation Theory, vol 16, no. 1, pp. 29-33. DOI: 10.1007/s10468-011-9291-5
Submitted manuscript, 138 KB

Cite this

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title = "Modules of constant Jordan type with small non-projective part",

abstract = "Let E be an elementary abelian p-group of rank r and let k be an algebraically closed field of characteristic p. We prove that if M is a kE-module of stable constant Jordan type [a1]...[at ] with j aj = min(r -1, p-2) then a1 =···= at = 1. The proof uses the theory of Chern classes of vector bundles on projective space.",

keywords = "modular representation theory, elementary abelian groups, constant Jordan type, vector bundles, Chern classes",

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AU - Benson, David John

PY - 2013/2

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N2 - Let E be an elementary abelian p-group of rank r and let k be an algebraically closed field of characteristic p. We prove that if M is a kE-module of stable constant Jordan type [a1]...[at ] with j aj = min(r -1, p-2) then a1 =···= at = 1. The proof uses the theory of Chern classes of vector bundles on projective space.

AB - Let E be an elementary abelian p-group of rank r and let k be an algebraically closed field of characteristic p. We prove that if M is a kE-module of stable constant Jordan type [a1]...[at ] with j aj = min(r -1, p-2) then a1 =···= at = 1. The proof uses the theory of Chern classes of vector bundles on projective space.

KW - modular representation theory

KW - elementary abelian groups

KW - constant Jordan type

KW - vector bundles

KW - Chern classes

U2 - 10.1007/s10468-011-9291-5

DO - 10.1007/s10468-011-9291-5

M3 - Article

SN - 1386-923X

VL - 16

SP - 29

EP - 33

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

IS - 1

ER -

Modules of constant Jordan type with small non-projective part

Abstract

Keywords

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