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On the principal blocks of F[Sfr ]11 and F[Sfr ]12 over a field of characteristic 3

Published online by Cambridge University Press:  01 May 2000

KAI MENG TAN
KAI MENG TAN
Affiliation:
Department of Mathematics, National University of Singapore, Lower Kent Ridge Road, Singapore 119260
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Abstract

In this paper, we construct the Ext-quivers of the principal blocks of F[Sfr ]11 and F[Sfr ]12, where F is an algebraically closed field of characteristic 3. We also obtain the Loewy structures of three principal indecomposable modules of the principal block of F[Sfr ]11.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 128 , Issue 3 , May 2000 , pp. 395 - 423
Copyright
The Cambridge Philosophical Society 2000

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Footnotes

This paper forms part of my doctoral thesis submitted to the University of Cambridge in October 1998. I would like to thank my research supervisor, Dr Stuart Martin, for his help, encouragement and support, and St John's College for their award of the Benefactors' Scholarship which enables me to pursue my doctoral research.