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