### 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.

] 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 |
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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 |

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### Keywords

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