کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9493578 | 1334249 | 2005 | 36 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Derivations and automorphisms of Jordan algebras in characteristic two
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
A Jordan algebra J over a field k of characteristic 2 becomes a 2-Lie algebra L(J) with Lie product [x,y]=xây and squaring x[2]=x2. We determine the precise ideal structure of L(J) in case J is simple finite-dimensional and k is algebraically closed. We also decide which of these algebras have smooth automorphism groups. Finally, we study the derivation algebra of a reduced Albert algebra J=H3(O,k) and show that DerJ has a unique proper nonzero ideal VJ, isomorphic to L(J)/kâ
1J, with quotient DerJ/VJ independent of O. On the group level, this gives rise to a special isogeny between the automorphism group of J and that of the split Albert algebra, whose kernel is the infinitesimal group determined by VJ.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 285, Issue 1, 1 March 2005, Pages 146-181
Journal: Journal of Algebra - Volume 285, Issue 1, 1 March 2005, Pages 146-181
نویسندگان
Pablo Alberca Bjerregaard, Ottmar Loos, Cándido MartÃn González,