Outer Derivations and Classical-Albert-Zassenhaus lie Algebras
1984 ◽
Vol 36
(6)
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pp. 961-972
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This paper is concerned with the structure of the derivation algebra Der L of the Lie algebra L with split Cartan subalgebra H. The Fitting decompositionof Der L with respect to ad ad H leads to a decompositionwhereThis decomposition is studied in detail in Section 2, where the centralizer of ad L∞ in D0(H) is shown to bewhich is Hom(L/L2, Center L) when H is Abelian. When the root-spaces La (a nonzero) are one-dimensional, this leads to the decomposition of Der L aswhere T is any maximal torus of D0(H).
1983 ◽
Vol 35
(5)
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pp. 898-960
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1962 ◽
Vol 14
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pp. 553-564
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1970 ◽
Vol 13
(4)
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pp. 463-467
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1971 ◽
Vol 23
(2)
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pp. 325-331
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1961 ◽
Vol 13
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pp. 201-216
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Keyword(s):
1989 ◽
Vol 03
(06)
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pp. 853-861
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