کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4584592 1630492 2015 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Growth of subalgebras and subideals in free Lie algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Growth of subalgebras and subideals in free Lie algebras
چکیده انگلیسی

We investigate subalgebras in free Lie algebras, the main tool being relative growth and cogrowth functions. Our study reveals drastic differences in the behavior of proper finitely generated subalgebras and nonzero subideals. For instance, the growth of a proper finitely generated subalgebra H of a free Lie algebra L, with respect to any fixed free basis X, is exponentially small compared to the growth of the whole of L. Quite opposite, the cogrowth of any nonzero subideal S is exponentially small compared to the growth of L.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 422, 15 January 2015, Pages 277–305
نویسندگان
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