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Generic Patterns for Extensions of Simple Modules for Finite Chevalley Groups

✍ Scribed by Cornelius Pillen

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
78 KB
Volume
212
Category
Article
ISSN
0021-8693

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✦ Synopsis

This paper describes generic patterns for the extensions between simple modules of a finite Chevalley group. A one-to-one correspondence between these extensions and the extensions between certain simple modules of the ambient algebraic group are established. It is shown that an extension appears in a principal series representation of the finite Chevalley group if and only if the corresponding extension for the algebraic group appears in a Weyl module.

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