کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4588050 1334170 2008 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fusion algebras with negative structure constants
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Fusion algebras with negative structure constants
چکیده انگلیسی

We introduce fusion algebras with not necessarily positive structure constants and without identity element. We prove that they are semisimple when tensored with C and that their characters satisfy orthogonality relations. Then we define the proper notion of subrings and factor rings for such algebras. For certain algebras R we prove the existence of a ring R′ with nonnegative structure constants such that R is a factor ring of R′. We give some examples of interesting factor rings of the representation ring of the quantum double of a finite group. Then, we investigate the algebras associated to Hadamard matrices. For an n×n-matrix the corresponding algebra is a factor ring of a subalgebra of Z[(Z/2Z)n−2].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 319, Issue 11, 1 June 2008, Pages 4536-4558