کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5776974 | 1413647 | 2017 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Combinatorial extensions of Terwilliger algebras and wreath products of association schemes
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Combinatorial extensions of Terwilliger algebras and wreath products of association schemes Combinatorial extensions of Terwilliger algebras and wreath products of association schemes](/preview/png/5776974.png)
چکیده انگلیسی
We introduce the notion of the combinatorial extension of a Terwilliger algebra by a coherent algebra. By using this notion, we find a simple way to describe the Terwilliger algebras of certain coherent configurations as combinatorial extensions of simpler Terwilliger algebras. In particular, given an association scheme S and another association scheme R such that the Terwilliger algebra of R is isomorphic to a coherent algebra, we prove that the Terwilliger algebra of the wreath product SâR is isomorphic to the combinatorial extension of the Terwilliger algebra of S by a coherent algebra. We also show that the Terwilliger algebra of the wreath product W of rank 2 association schemes can be expressed as the combinatorial extension of adjacency algebras of association schemes induced by the closed subsets of W. As a direct consequence, we obtain simple conceptual explanations and alternative proofs of many known results on the structures of Terwilliger algebras of wreath products of association schemes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 340, Issue 5, May 2017, Pages 892-905
Journal: Discrete Mathematics - Volume 340, Issue 5, May 2017, Pages 892-905
نویسندگان
Sung Y. Song, Bangteng Xu, Shenglin Zhou,