### Abstract

] 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 | |

Publication status | Published - Feb 2013 |

### Fingerprint

### Keywords

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

### Cite this

*Algebras and Representation Theory*,

*16*(1), 29-33. https://doi.org/10.1007/s10468-011-9291-5

**Modules of constant Jordan type with small non-projective part.** / Benson, David John.

Research output: Contribution to journal › Article

*Algebras and Representation Theory*, vol. 16, no. 1, pp. 29-33. https://doi.org/10.1007/s10468-011-9291-5

}

TY - JOUR

T1 - Modules of constant Jordan type with small non-projective part

AU - Benson, David John

PY - 2013/2

Y1 - 2013/2

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 jaj= min(r -1, p-2) then a1=···=at= 1. The proof uses the theory of Chern classes of vector bundles on projectivespace.

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 jaj= min(r -1, p-2) then a1=···=at= 1. The proof uses the theory of Chern classes of vector bundles on projectivespace.

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

VL - 16

SP - 29

EP - 33

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

SN - 1386-923X

IS - 1

ER -