Low dimensional projective indecomposable modules for Chevalley groups in defining characteristic

Alexandre E. Zalesski

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arXiv · 1202.1308

Low dimensional projective indecomposable modules for Chevalley groups in defining characteristic

Alexandre E. Zalesski

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Abstract

The paper studies lower bounds for the dimensions of projective indecomposable modules for Chevalley groups G in defining characteristic p. The main result extending earlier one by Malle and Weigel (2008) determines the modules in question of dimension equal to the order of a Sylow p-subgroup of G. We also substantially generalize a result by Ballard (1978) on lower bounds for the dimensions of projective indecomposable modules and find lower bounds in some cases where Ballard's bounds are vacuous.

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BibTeX RIS

Alexandre E. Zalesski. 2012-02-06. Low dimensional projective indecomposable modules for Chevalley groups in defining characteristic. https://arxiv.org/abs/1202.1308

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