Open AccessA new product on 2 × 2 matrices
Author(s) -
Ludwig Krämer,
Peter Krämer,
Vladimir I. Man’ko
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1612/1/012018
Subject(s) - matrix multiplication , product (mathematics) , mathematics , matrix (chemical analysis) , hadamard product , pure mathematics , complex hadamard matrix , bilinear interpolation , hadamard transform , hadamard matrix , mathematical analysis , geometry , physics , materials science , statistics , quantum mechanics , composite material , quantum
We study a bilinear multiplication rule on 2 × 2 matrices which is intermediate between the ordinary matrix product and the Hadamard matrix product, and we relate this to the hyperbolic motion group of the plane.