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Stability of Decomposition Numbers for Finite Chevalley Groups

✍ Scribed by Leonard Chastkofsky

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
134 KB
Volume
202
Category
Article
ISSN
0021-8693

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Consider a finite Chevalley group G p defined over a field of p elements, p a prime. The projective indecomposable characters in characteristic p are indexed by the p n -restricted weights. If a weight is p-restricted, it is also p n -restricted. If ⌽ is the corresponding projective , n Ž n . indeco

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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