کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4584961 1630510 2014 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The quasi-partition algebra
ترجمه فارسی عنوان
جبر شبه پارتیشن
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

We introduce the quasi-partition algebra QPk(n)QPk(n) as a centralizer algebra of the symmetric group. This algebra is a subalgebra of the partition algebra and inherits many similar combinatorial properties. We construct a basis for QPk(n)QPk(n), give a formula for its dimension in terms of the Bell numbers, and describe a set of generators for QPk(n)QPk(n) as a complex algebra. In addition, we give the dimensions and indexing set of its irreducible representations. We also provide the Bratteli diagram for the tower of quasi-partition algebras (constructed by letting k range over the positive integers).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 404, 15 February 2014, Pages 124–151
نویسندگان
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