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Isomorphisms of Chevalley Groups over Algebras

โœ Scribed by Yu Chen


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
164 KB
Volume
226
Category
Article
ISSN
0021-8693

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In this paper we characterize linear maps . between two nest algebras T(N) and T(M) which satisfy the property that .(AB&BA)=. ## (A) .(B)&.(B) .(A) for all A, B # T(N). In particular, it is shown that such isomorphisms only exist if N is similar to M or M = .

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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 โŒฝ is the corresponding projective , n ลฝ n . indeco