کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5778435 | 1633769 | 2017 | 45 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Finite and infinite dimensional Lie group structures on Riordan groups
ترجمه فارسی عنوان
ساختار گروهی محدود و بی نهایت در گروه های ریوردان
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
چکیده انگلیسی
We introduce a Frechet Lie group structure on the Riordan group. We give a description of the corresponding Lie algebra as a vector space of infinite lower triangular matrices. We describe a natural linear action induced on the Frechet space KN by any element in the Lie algebra. We relate this to a certain family of bivariate linear partial differential equations. We obtain the solutions of such equations using one-parameter groups in the Riordan group. We show how a particular semidirect product decomposition in the Riordan group is reflected in the Lie algebra. We study the stabilizer of a formal power series under the action induced by Riordan matrices. We get stabilizers in the fraction field K((x)) using bi-infinite representations. We provide some examples. The main tool to get our results is the paper [18] where the Riordan group was described using inverse sequences of groups of finite matrices.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 319, 15 October 2017, Pages 522-566
Journal: Advances in Mathematics - Volume 319, 15 October 2017, Pages 522-566
نویسندگان
Gi-Sang Cheon, Ana Luzón, Manuel A. Morón, L. Felipe Prieto-Martinez, Minho Song,