کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4597695 1336228 2007 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A class of strongly homotopy Lie algebras with simplified sh-Lie structures
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A class of strongly homotopy Lie algebras with simplified sh-Lie structures
چکیده انگلیسی

Given a complex that is a differential graded vector space, it is known that a single mapping defined on a space of it where the homology is non-trivial extends to a strongly homotopy Lie algebra (on the graded space) when that mapping satisfies two conditions. This strongly homotopy Lie algebra is non-trivial (it is not a Lie algebra); however we show that one can obtain an sh-Lie algebra where the only non-zero mappings defining it are the lower order mappings. This structure applies to a significant class of examples. Moreover in this case the graded space can be replaced by another graded space, with only three non-zero terms, on which the same sh-Lie structure exists.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 208, Issue 2, February 2007, Pages 647–653
نویسندگان
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