Modules of constant Jordan type with two non-projective blocks

Shawn Baland

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Let E be an elementary abelian p-group of rank r and let k be an algebraically closed field of characteristic p. We investigate finitely generated kE-modules M of stable constant Jordan type [a][b] for 1¿a,b¿p-1 using the functors Fi from modules of constant Jordan type to vector bundles on projective space Pr-1 constructed by Benson and Pevtsova (in press) [3].

In particular, we study relations on the first few Chern numbers of the trivial bundle to obtain restrictions on the values of a and b for sufficiently large ranks and primes. Finally, we use similar techniques to find restrictions on the values of p and r for which there exist modules of stable constant Jordan type [3][2][1].
Original languageEnglish
Pages (from-to)343-350
Number of pages8
JournalJournal of Algebra
Volume346
Issue number1
Early online date8 Sep 2011
DOIs
Publication statusPublished - 15 Nov 2011

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Module
Restriction
P-groups
Projective Space
Algebraically closed
Vector Bundle
Functor
Finitely Generated
Bundle
Trivial

Keywords

  • Modules of constant Jordan type
  • Elementary abelian p-groups
  • Vector bundles
  • Chern numbers
  • Projective space

Cite this

Modules of constant Jordan type with two non-projective blocks. / Baland, Shawn.

In: Journal of Algebra, Vol. 346, No. 1, 15.11.2011, p. 343-350.

Research output: Contribution to journalArticle

Baland, Shawn. / Modules of constant Jordan type with two non-projective blocks. In: Journal of Algebra. 2011 ; Vol. 346, No. 1. pp. 343-350.
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