A Compound Determinant Identity for Rectangular Matrices

2011/06/15 by Masao Ishikawa, Masahiko Ito, Ishikawa, Masao +3
Computer Science · Engineering · Mathematics · Physics and Astronomy · #05A17 (Secondary) #05E05 #05E15 #15A15 (Primary) 06A07 #Advanced Mathematical Theories and Applications #Combinatorics (math.CO) #FOS: Mathematics #Matrix Theory and Algorithms #Representation Theory (math.RT) #graph theory and CDMA systems #math.CO #math.RT #msc:05A17 #msc:05E05 #msc:05E15 #msc:06A07 #msc:15A15

paper · pdf · doi:10.48550/arxiv.1106.2915

22 pages

arxiv created 2011/06/15 · openalex publication_date 2011/06/15 · arxiv updated 2011/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A compound determinant identity for minors of rectangular matrices is established. As an application, we derive Vandermonde type determinant formulae for classical group characters.

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