کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4624778 1340288 2013 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A compound determinant identity for rectangular matrices and determinants of Schur functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A compound determinant identity for rectangular matrices and determinants of Schur functions
چکیده انگلیسی

A compound determinant identity for minors of rectangular matrices is established. Given an (s+n−1)×sn(s+n−1)×sn matrix A with s blocks of n columns, we consider minors of A by picking up in each block the first consecutive columns specified by weak compositions at most s   parts, and prove that the compound determinant of such n×nn×n minors of A is equal to the product of maximal minors of A   corresponding to compositions of s+n−1s+n−1 with s parts. As an application, we obtain Vandermonde type product evaluations of determinants of classical group characters, including Schur functions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Applied Mathematics - Volume 51, Issue 5, October 2013, Pages 635–654
نویسندگان
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