کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4595710 1336130 2017 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Solvability and nilpotency for algebraic supergroups
ترجمه فارسی عنوان
قابلیت حل بودن و nilpotency برای ابرگروه های جبری
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

We study solvability, nilpotency and splitting property for algebraic supergroups over an arbitrary field K   of characteristic charK≠2. Our first main theorem tells us that an algebraic supergroup GG is solvable if the associated algebraic group GevGev is trigonalizable. To prove it we determine the algebraic supergroups GG such that dim⁡Lie(G)1=1dim⁡Lie(G)1=1; their representations are studied when GevGev is diagonalizable. The second main theorem characterizes nilpotent connected algebraic supergroups. A super-analogue of the Chevalley Decomposition Theorem is proved, though it must be in a weak form. An appendix is given to characterize smooth Noetherian superalgebras as well as smooth Hopf superalgebras.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 221, Issue 2, February 2017, Pages 339–365
نویسندگان
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